Welcome to the forum!
I don' t know if this is what' s up with your situation, but if you did not adjust the rest' s centershot then that is the likely problem. When a right handed shooter sets up for shooting fingers, he aligns the tip of the arrow slightly left of centershot. That compensates for the string rolling off the fingertips and being pushed slightly off to the left of center.
With a release, the whole shot is going right down the middle so the centershot needs to be right on.
If you didn' t adjust the rest that was set up for fingers when you started using the release, the arrow is automatically aimed off to the left.