Loren Sefcik got the Terps on the board in the 64th minute, and Dayes sealed the win with a late tally.
Only four of the Terps' attempts were on target.
The Terps have held firm throughout the season despite injuries and lineup changes.
The Terps were shut out a combined 6-0 in their past two losses.
The Hawkeyes outshot the Terps, 15-6.
“The way they defend, the way they press you is unbelievable. It’s like a basketball full-court press."
Kwoczka earned her first career start against Illinois.
The Terps are 5-0 when scoring in the first 10 minutes of a match this season.
Adalee Broadbent and Alyssa Poarch each scored twice.