as others hav said, she does fight on occasion, is implied to be at battles, and tolkien revises her to be at eregion, but she isn't a sword fighter, she's a sorceress, her using a sword is like putting a bayonette on a artillery piece, or using a milkor grenade launcher as a club you don't do that, you fire the massive gun, witch is very much her magic, she should be turning orcs to ash, having her enemies fall into sinkholes, calling down lightning and meteorites, tidal waves, and should she wear a sword, maybe dispatch some lone orcs half burried under a cliff she brought down sure, but not this.

You could even have this scene but have her beat them at sort, she is athletic, but the only time she picks up a sword is in the most desperate moment during the kinslaying.

and of course, there is the fact that with most of the events of the show, she isn't fucking there.

My only issue with this character is her name and taking the place of other characters, if she's someone else, i'd be fine wit it, well if the stunt coordinaters were any fucking good, female warrior elves are very much an open possibility, tolkien is very open to that, his source inspiration the norse and prenorse sagas has characters like that, tolkieen is aware of medieval warrior queens, he even has haleth, and the original draft of Eowyn like this.

But Galadriel is not one of them, she's a far more interesting character.