"I wish she was able to see that my love is the same as her love for those that she cares about -- that my marriage means as much to me as hers if she's married," Buttigieg said when asked about the video on "The View" Thursday morning.
He added: "If she can't see that...I am still, if I am elected president, going to get up in the morning and try to make the best decisions for her and the people that she loves as I will work to serve every American whether they supported me or not."
The footage he's referencing was captured by filmmaker Annabel Park during a live stream of events and circulated widely on the internet earlier this week. In it, a caucus-goer asks to withdraw her support for Buttigieg after learning that he's married to a man.
"Are you kidding? Then I don't want anybody like that in the White House," the woman responded after learning about Buttigieg's sexuality. "So can I have my card back?"
With 97% of precincts reporting, Buttigieg and Vermont Sen. Bernie Sanders are nearly tied for the lead in Iowa, and both candidates have declared themselves victorious in the contest. ABC has not called the race.
The Associated Press contributed to this report.