Genocide Martlet Battle - Undertale Yellow

[@DumbMicc]

Can she be killed, or is it simply part of the route not to be able to do so? I've been trying several times to kill her, but I have doubts anyway, besides I can't find much information about the genocide route because the game came out yesterday. (sorry if sometimes you can't understand my spelling, I'm using translator)

[@Whispernyan]

I believe there's a second fight with her later on where you can kill her