Skinner made nine changes for the trip to the Bescot Stadium, providing an opportunity for much of the squad who didn’t start the recent Super League win over West Ham.
Nikita Parris - one of three summer signings who were given the nod - impressed in the early stages and opened the scoring with an excellent finish just after quarter of an hour.
But after the break, Rachel Daley drew the hosts level with an instinctive finish, forcing the fixture beyond normal time.
The 1-1 score at full-time secured both one point in Group A, but it was Villa who took the bonus after the shootout.