If you are in the middle of an adoption, the presumed father can ask the court to stop the adoption if he wants custody. If this happens, you can still ask for custody. You may be able to raise the child yourself, or to share custody with the father.
The presumed father has the right to have the baby taken from the adoptive family, unless the court decides that he cannot care for the baby or would hurt the baby.
Your adoption agency or lawyer can tell you more about the birth father’s rights.