Sex can definitely be part of someone's identity as a furry but it isn't always a kink. Sometimes it's someone who just has a fursona for fun and thinks animal characters are neat but who isn't into fucking in fursuits (or fursuits at all, in my case specifically) or someone who's not overly interested in furry porn. It could also be someone who likes both of those but who doesn't consider their identity as a furry to be a kink, just like they wouldn't consider their identity as gay to be a kink even if they're sexually attracted to men.

It can stay as a kink too but "furry" should also be added to either the "my personality" or "other tags" section.