((WW)) I recall you suffocating a cat yourself, is that right or do I have you confused with someone else? I think it was old and ailing and you didn't have the money for the vet?
Killing your pets doesn't sound like a logical solution to me. Doesn't your spouse have a say in this matter? Wouldn't that affect him negatively also?
Who is deciding that this is what you "need" to do? What about the humane society, or a rescue organization? But even so, wouldn't their absence be negative to you?
I've read about how pets somehow can find the sensitivity within troubled people. If the child can't learn to care about the life of a pet in how she handles it etc, well, I wonder if she's in the right place for her severity of disorders. You had pets when you brought her into the home, imo, if you lived alone then that would be one thing (but still not to kill the animals but to remove them) but you don't live alone, but have a spouse. Also,the pets were there first and they rely upon you. (i.e. you knew you had pets when you did this.) They had no say in your bringing a troubled child in, yet they are going to suffer for that decision? Something isn't clicking for me, sorry.
I would hope that before you do anything that you truly listen to those giving you counsel, namely your spouse and your therapist. As long as your feelings are mixed, you probably shouldn't kill anything, imo.