Definitely wait until after Thumper is spayed and has had time to heal for a month. At that time, after you get permission from your mother, find out about having Thumper bunny date at the rescue. Just because YOU like a bunny, does not mean she will. And if the bunny you are looking at is a female (you said ‘spayed’ so I assume it’s a girl), please understand that two females can be very, very difficult to bond. In some cases, they do not bond and must be kept separate permanently. This is another reason why taking your time and allowing Thumper to meet different buns and pick out HER favorite is so important.
If you are a minor, your mother is ultimately responsible for any and all animals. If you adopt a new bun, you cannot sign the paperwork, your mother must take possession of the bunny. If you are over 18 but living in your mother’s home and receiving financial support, do not bring a new rabbit into the house without first discussing this with her. It is not respectful and all animals should be a joint family decision as they affect everyone.