The body rejected the amendment in its 11-hour end of session meeting.
If it were to take effect, the body's proposal would apply to both midterms and finals.
She had previously dropped out of the race.
The two frontrunners are a woman and a black man.
The terms for 44 faculty and 8 staff senators ended this year.
“He’s always willing to listen to students."
Michael Busch, the longest-serving speaker in Maryland history, died earlier this month.
Of the 4,051 votes cast for president, Lesley received 53.8 percent.