Which parent is favored to get phyisical custody if father has already moved to another state?

 A: At least theoretically, there is no preference either regarding gender, or as to who is in which state when the child care decision is to be made.  See https://www.willicklawgroup.com/child-custody-and-visitation/.  Whether one parent has been the primary custodian has a greater influence with some judges as to “continuity of care”; others see divorce as such a major event that they start with a blank slate as to custody.  As a practical matter, shared custody across state lines is impractical for most parents, requiring a choice of primary placement, so (not knowing any other facts, and LOT of facts could be relevant) the traditional custodian would normally be expected to stay in that role.  For greater specifics, you should consult a family law specialist.