The Terps' winless streak also grew to ten games.
Hope Lewandoski's early goal wasn't enough for the Terps to overcome the Illini.
The Terps are currently on a six-game winless streak with matches against Illinois and Iowa set for the weekend.
The Terps conceded late goals in two of their recent matchups.
The Terps had the lead in the final minute, before a goal from the Wildcats' Francesca Docters forced the game to overtime.
The Terps took their first point against a Big Ten opponent in seven games.
The Terps continued their strong defensive play, but couldn't find the game winner in their second consecutive draw.
Before the Terps' match with George Washington, they paid tribute to Sidloski, who died earlier this year.
"We saw a lot of fight when we went down," coach Ray Leone said.
The Terps scored in the opening minute of the game, but struggled to keep up with the Midshipmen's attack.