The video is up on YouTube now. There is a wonderful moment at 5:51 (she's introduced at about 5:10) where she says, "My name is Sarah McBride and I am a proud transgender American" - and the crowd responds with a loud, sustained, happy cheer. Far more people cheering for her than some of the politicians who spoke earlier in the evening.
Update: According to thenewcivilrightsmovement (.com, has another vid with a different camera angle) the cheer was different because they were giving her a standing ovation.