Hammerhand, you are right that Galadriel isn't shown to be a fighter, especially by the Third Age. But I think the statement from UT of her being a match for both 'loremasters and athletes of the Eldar' goes to show that not only does she have 'mental toughness' but she is also physically strong.
Also take into consideration this...
Quote:
Three times Lorien had been assailed from Dol Guldur, but besides the valour of the elven people of that land, the power that dwelt there was too great for any to overcome, unless Sauron had come himself. Though grievous harm was down to the fair woods on the borders, the assaults were driven back; and when the Shadow passed, Celeborn came forth and led the hose of Lorien over Anduin in many boats. They took Dol Guldur, and Galadriel threw down its walls and laid bare its pits, and the forest was cleansed.~Appendix B: Tale of Years; The Third Age
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Not only was Galadriel powerful enough to go into Dol Guldur and clean out all the 'evil' done by Sauron, but she was so powerful, Lorien would only be overcome unless Sauron had came there himself. Galadriel may not be imagined as much of a fighter (since there isn't much said about her actually 'fighting.') But she was an extremely powerful Elf (the most powerful of the Third Age and one of the greatest period). So, she just wasn't some wise lady that gave out gifts and read people's thoughts.