(Translated with permission) Listen, she's just a normal human female, okay? So obviously she can get normal human married, just like any other human. Definitely a normal human and not a shapeshifting cat of any sorts, can't stress that enough.
The Cat Who Wanted to be a Bride is a completed manga by Tanaka Doriru, first published in 2020. It blends romance and comedy. You can read all 2 available chapters of The Cat Who Wanted to be a Bride online for free on MangaPulse; the newest is Chapter 2, added 2020-09-12. The series is finished, so you can read it from start to end in one go.