A female Dachshund. The name comes from female dogs are called bitches and dachshunds are sometimes called wieners (referring to both their stubborn personalities and the length of the dog.)
Trevor: Man, I love dogs.
Brandy: Want to stroke my bitch wiener?
Trevor: Boy would I? ... Oh yeah... Mmm... Thats a nice wiener. Can I kiss it?
Slang for a pet. Especially referring to dogs or pets that lick.
Hey, Trevor. Did you see my new dog yet? I just got him yesterday.
Nice lick, man.