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Do it
(feddit.org)
For me Its quite simple. My brain decided it. Literally. The days I found out I'm trans, my brain would do this weird thing, where I could think about completely different stuff and suddenly my now chosen name would "fly" into my mental Field of View, like an asteroid in star wars or so. I told that name a close friend and 4 weeks later when we went to the club together I told him, that I will stick with it, because I didnt had a better idea (and it was the only name I really felt comfortable with).
My partners have been calling me "Cat" for years 'cuz my fursona is feline. If I wanted to go through the hassle of changing my government name that's the one I'd pick, but I'd spell it with a 'k'.