It must be so difficult to watch something like that. But I'm sure it's not easy for her either. She probably does love him (or the him she thinks he could be if he just changed). But I would bet that stuff like the birthday tribute is not because she loves him so much but more because it keeps things "safe." By publicly declaring her love for him, she keeps him from suspecting that she's planning to leave or how she might really feel about him.

I would ignore those who judge you for not stepping in. As much as it seems logical that you should, the reality is it could really just make things worse. Abusive relationships are so much more complex than we can see from the outside and "step in and protect the victim" is too simplistic an answer.

I hope your daughter is able to free herself soon and that you'll be able to rest easy knowing she's safe one day.