Bad call, since I currently write three fantasy stories. One of which features a Protagonist fighting creatures far worse than zombies as her main job (or, well, she's retired, but still) and she doesn't, technically, need a weapon, because she has one she can manifest. Does not suffice in killing her eneemies, but zombies? No problem.
One is the literal God of Life and Death.
And one is... a zombie, in a way.
That's just not a well-matched competition.
But good on your MC, for the lipstick taser.