High Queen Galadriel

In the Sillmarillion, Galadriel is referred to as an athlete, and more when she is in Valinor. Was she really an elf warrior and actually faught at events such as the kinslaying at Alqualande? If time came and she had to battle the with king himself, could she perhaps kill him since she is a women?Is she, in your opinion, the most powerful Elf in middle-earth at the time of the third age?