It would have allowed "mature" 16-year-olds to consent without parental permission.
The College Park City Council controversially passed a similar ordinance amid criticism in September.
Some motorcyclists at the University of Maryland support the proposed legislation.
Lawmakers heard arguments for it on Wednesday.
The president wants to cut the budget by over 90 percent.
UMD community members are among those lobbying for the legislation.
The state legislature is slated to hear bills Tuesday that would broaden Maryland's hate crime statute.
One delegate proposed to call it "Olivia's Law."
Lawmakers heard arguments for and against the bill on Tuesday.