The game, originally scheduled for Sunday at the Nittany Lions' home, Jeffrey Field, was moved to Monday on Bigler Field to be played on turf that was cleared and prepared starting Sunday and most of the day Monday.
Penn State outshot Hofstra, 26-7, but the CAA champions struck first on Brooke DeRosa's goal in the 35th minute.
The Lions were seconds from going down to defeat when senior Carly Bedesem took a pass from Katie Schoepfer and scored with a shot to the far post to send the game to overtime.
"It was kind of a blur," said Bedesem of her game-tying goal. "I knew I had to get the ball in the back of the net. I wasn't letting our seniors end on this field or any of our teammates. It was for everyone on the field."
With momentum clearly on their side, it didn't take long in overtime for the Lions to put the game away. Sophomore Maura Ryan found Schoepfer, who also went far post for the game-winner -- her team-leading seventh of the season -- 61 seconds into overtime.
"This is a huge win," said Schoepfer. "It puts a lot of confidence in our team and in each other. A win like this really brings your team together and makes you more of a unit and we're going to be ready for West Virginia."
Penn State faces West Virginia on Saturday at Jeffrey Field.