My initial impression is that the "Princess" doesn't seem to be very good at her job. During battle, she talks too much when she should be shooting (as per Tuco's advice in The Good, The Bad, and The Ugly), and she often has to come back a second time to finish the job, because she gets re-killed a lot. lol Also, I still can't figure out why she's using such a horrible choice of weapons, or why her cohorts don't get her a suitable change of clothes. The animation is a bit low-end, but I could overlook that if other things were up to par. I'll be patient and give it a chance.
Granted, I just got through watching that soldier girl in Appleseed do her thing, and she's a tough act to follow, but killing zombies really isn't that difficult.