Is the loss of a pet a suitable reason to miss work?

I have work tonight and totally don’t feel like going in. The cat I’ve had since I was 6 years old is being put down, and although she does not live with me currently, I’m still so emotional about it.
I will end up going to work, and probably having a crying spell at some point, totally unprofessional but I’m definitely a crier. I can’t help it.
But, in the professional world (i’m in a restaurant, not an office or anything..) Is the loss of a pet an acceptable excuse out of work? I assume you could use a personal day.