Do a ritual for moving to her and then move and see what happens.
You sacrificed the coin to your goddess? Sacrifices were not recycled but generally disposed of, taken out of the mundane world. If you are not prepared to let go of sacrifices don't sacrifice them.
You could bury the item before you leave to prevent it reentering human ciculation. Sacrificed objects were often buried, burnt, broken or placed in bodies of water so that they were irretrievable.
Yes. I think that might be a theft that they will regret!
I think the Goddess will understand