Hey, I played it again. Here are the extracts that gave you away :P
"Jesse looks content: yep, some ears have been scratched.
I gently help her to get to bed...
I am sitting on my bed. Jesse already snores softly.
Jesse woofs in her sleep: I hope she is having some sweet dreams about a meatloaf. Or two.
Good night, little bun."
The way they are phrased - it's kind of obvious it is written by a woman. Whereas the character is a male.
I don't have a problem with it. You can leave it as it is. Just sharing my observation.