Her father made Daniela comfortable with the situation right now and there's no doubt in her acceptance She's really wanted to be a part of the family and that's what made her happy with her father's apology.
Daniela felt something is missing in her heart and she knew it might be that thing. She realized that what happened in the past still left the scar in her heart but she also wanted it to be healed and felt like what other people feel.
With their relationship, she hoped that they would have some other good memories because she felt like she didn't have one. Good memories only happened because of anyone else and not from her own family.
It's some kind of dream that she wanted to happen. Before she hugged her father like what she did right now, that dream only is a dream and she didn't know if that could be a reality not after what her father did this evening.