Are you looking for an animal to take out in public? To work? To shopping, etc? perhaps I am mistaken but it sounds as though what you are talking about is a 'service animal'.

I address this to anyone. A service animal has rights that a therapy animal doesn't. For instance one has full rights to public places where as the other does not. One cannot be denied a place of accomodation the other can be done so. One cannot be denied attending work with you, the other can. Basically a service animal is an animal highly trained to perform tasks (it could be to remind you to fetch your medication, it could be to use it's own body to hold you during a panic attack, etc). On the other hand, a therapy animal has no additional rights in most places than a regular pet. They do make great companions and they do provide a therapeutic value to the owner but that is generally limited to home.

A bunny can have a strong therapeutic value. Talk to your work place. If they are already aware of your condition they may be willing to allow you to bring your therapeutic animal with you.

I think volunteering at the humane society is a fabulous idea. The animals need a great deal of positive attention and you would get a great deal of satisfaction and companionship from doing so. My local shelter has a reading program. Yes, volunteers read to the dogs. Apparently it soothes them.