Well, he likely will get unsupervised visitation eventually. He is your child's father and he has the right to be a part of his child's life.

What are you doing to facilitate the relationship between kiddo and her Dad? Do you have her in counseling to help her adjust? Is your anxiety perhaps rubbing off on her?

If a GAL is appointed, s/he will be looking out for what is in the child's best interest - not yours, and not Dad's.

Honestly, you need to accept that Dad is likely going to have unsupervised visitation with his daughter, and even for much longer periods in the summer once she's school age.