The Terps are undefeated since her injury on Dec. 3.
The Hawkeyes closed the first half on a 35-7 run to put the Terps away early.
Five players scored in double-digits for the Terps, who continued their undefeated start in Big Ten play.
Late free throws from Katie Benzan and Ashley Owusu helped the Terps hold off the Hoosiers.
Trayce Jackson-Davis paced the Hoosiers' comeback with 17 second-half points.
Morsell is out after suffering a facial fracture against No. 16 Michigan on New Year's Eve.
DeMatha product Hunter Dickinson dropped a career-high 26 points for the Wolverines.
Eric Ayala scored 17 points as the Terps knocked off a top-10 opponent for the first time since 2016.
Donta Scott keyed the comeback attempt with 15 second-half points.
Morsell has shot less than 40 percent from the field in six games for the Terps.