A diving save from Bibi Donraadt kept the Terps alive.
The Terps and River Hawks will not make up their game after a storm paused the match late in the first quarter.
"If you can't battle with each other off the field, then there's no way you're going to do it for each other on the field."
The Terps held two exhibition matches over the weekend, playing their annual Red-White scrimmage and hosting local club team, DC Dragons.
Coach Missy Meharg brought on two former Terps in Kasey Tapman Asper and Sarah Holliday, and the Canadian men's international team captain Scott Tupper.
The Terps' 2021 slate features matchups against nine of 20 teams from last year's NFHCA Division I Coaches poll.
Tornetta was announced as a transfer for the Terps on May 28.
Tornetta spent her first three seasons with Princeton where she appeared in back-to-back Final Fours.
Donraadt hails from Rotterdam, Netherlands, where she showed exceptional skill at a young age.
The Terps could miss the NCAA tournament for the first time since 1994.