Hi, good question, you can say "mi perro" if it's male or "mi perra" if it's female, don't worry about sounding vulgar, you will not sound like that, remember that gender is very important in spanish

If your dog is she , is perra but if your dog is he, is perro

You can say "perra" without problems (only in order to refer to animal).

I use the dog's name. But it is fine to say perra. But yeah, you know that word is used as a ln offense to happy women

Hi! Actually, it's ok if you say no perra esta mal. It doesn't sound bad or rude