Gandalf, especially as Gandalf the White, was fundamentally more powerful than Galadriel because he is a Maia (a demigod-like spirit), while Galadriel is an Elf, but Galadriel's wisdom, unique abilities (like reading minds and resisting Sauron), and the power of her Elven Ring, Nenya, made her incredibly potent in Middle-earth, even if Gandalf held higher inherent power. Gandalf's power was often restrained by his mission as an Istari (wizard), but after his resurrection, Gandalf the White had increased authority, though still not his full divine might.
Oh, Galadriel is one of the most powerful elves of all time, and easily the most powerful still in Middle Earth by the Third Age. To the Hobbits she would have appeared as a goddess. But we're comparing her to Gandalf the White at the height of his power, and he's as far beyond her as she is beyond the Hobbits.
Sauron is, in fact, much stronger than Gandalf or Saruman.
"she was the mightiest and fairest of all the Elves that remained in Middle-earth." "Galadriel was the greatest of the Noldor, except Fëanor maybe, though she was wiser than he, and her wisdom increased with the long years." However Finrod or Galadriel or Feanor couldn't defeat Sauron 1v1 even if they had the One Ring.
Could Galadriel kill a Balrog? Sure, especially if it's in a 'right' situation and location. But she herself would be killed too.
Sauron is a Maia. She can only beat him if she has the ring AND he does not have all his power. The books are quite clear that if Galadriel takes the One Ring she will win against Sauron. The books also clarify that armed only with her Elvish Ring of power she will lose.
As a Maia, Gandalf was an angelic being in human form, in service to the Creator (Eru Ilúvatar) and the Creator's 'Secret Fire'. He took on the specific form of an old man as a sign of his humility. His role was to advise but never to attempt to match Sauron's strength.
Sauron in the third age did not fear Galadriel. He did in the first age and part of the second age. After making the one ring, Sauron was so far above Galadriel's spiritual power he had no reason to fear her.
Indeed, it seems Elrond used this The Rings of Power kiss not to admit his true feelings for Galadriel but so that he could slip her a pin from his cloak.
In the section "Of the Sun and Moon and the Hiding of Valinor" from The Silmarillion, Tolkien wrote, "Fëanor was made the mightiest in all parts of body and mind, in valor, in endurance, in beauty, in understanding, in skill, in strength and in subtlety alike, of all [Elves and Men], and a bright flame was in him." ...
Gandalf was greater than any one of the Nazgul, and probably equal to them as a whole. But he was forbidden from matching power with power. With Narya, he worked to inspire the Men of Gondor to conquer their fear and stand.
In J.R.R. Tolkien's Middle-earth, the strongest Hobbit is generally considered to be Frodo Baggins, although not in terms of physical strength. Frodo's strength lies in his courage, resilience, and perseverance, particularly in bearing the One Ring and undertaking the perilous journey to Mount Doom.
Gandalf explained that it did not grant new life, but that the possessor merely continued until life became unbearably wearisome. The Ring did not protect its bearer from destruction; Gollum perished in the Crack of Doom, and Sauron's 'fair' body was destroyed in the downfall of Númenor.
The relationship between Gandalf and Galadriel in Tolkien's world was based on deep respect, friendship, and spiritual connection, though there are no indications of a romantic relationship in the books or films.
We know that Elrond, Elendil, Gil-Galad, Cìrdan, and Isildur were enough to beat Sauron (although he had been weakened by the fall of Nùmenor).
Sauron never loved Galadriel. He wanted to possess and use her for his own purposes.
It's possible that Gollum's prolonged search for the ring allowed it to maintain a significant power over him, suspending his aging process. In contrast, Bilbo's exposure to the ring's influence waned after he willingly (mostly) relinquished it, allowing his aging to resume more noticeably.
He is a Sindar Elf of the Woodland Realm and son of its king, Thranduil, becoming one of the nine members of the Fellowship who set out to destroy the One Ring. Though Dwarves and Elves are traditionally rivals, he and the Dwarf Gimli form a close friendship during their travels together.
Elrond chose the fate of the Elves and therefore the choice was presented to his children. The reason why Eldarion and his sisters (the children of Aragorn and Arwen) were born mortal was because Arwen chose mortality and therefore that fate was passed on to the rest of their line.
Given Aragorn already wrested control of a Palantir from him, Sauron would probably be nervous of him having the Ring for too long. Aragorn as the new claimant of the Ring would gain considerable power from it. Though mortal, his lineage and own gifts made him a person of considerable stature.
In the late First Age, Finrod and Galadriel came to Doriath as guests of Thingol. There, Celeborn and Galadriel met, fell in love, and were soon betrothed. Galadriel remained in Doriath with Celeborn after Finrod went to the Caverns of Narog to establish the stronghold of Nargothrond.
Tolkien's description of Gollum conforms to a Catholic – and Thomistic – account of envy, which is a “sadness of the soul”; and it is Gollum's unbearable sadness and his unquenchable desire for the one Ring that marks his character.
Saruman first appeared during a fourth phase of writing in a rough narrative outline dated August 1940. Intended to account for Gandalf's absence, it describes how a wizard titled "Saramond the White" or "Saramund the Grey", who has fallen under the influence of Sauron, lures Gandalf to his stronghold and traps him.