Hi Focus.
I understand the frustration over wanting a pet and not being able to have one. My cat, who I named my PC profile after, passed away over the summer, and I wanted so bad to have a cat around the apartment. My RD shut that down though...despite the fact the neighbor has a dog.
Anyway, I don't think your therapist is going to think one iota less of you for telling her this, and I would encourage you to. She can help you get past the feelings that make SI seem tempting. She's there to help you Focus, and I don't think she is going to berate you a bit for asking for help. With respect to her, I don't think she'd be a very good therapist if she did.
I do hope I was of some help, and I hope this weekend passes quickly for you.
Hugs,
Harley