If she didn't she would have adopted somebody else. Not everybody gets to pick the child they get.
She adopted you... apparently you have no idea how difficult it is to adopt children. She must've wanted you really really REALLY bad - I'm sure she loves you immensely.
She took you into her life, right? She loves you.
Simple , ask her
No it wouldnt
Give her trust with your heart, and see what happens, surely time will answer this clearly. Don't start by mistrust. :)
If she cares and shows you that, then she loves you.