sole provider

I am the Sole Provider for an amazing almost 9 year old girl. I hate saying that I am a "single mom", cause there is not much truth to that. While yes, I am the (mostly) financial sole provider, I am engaged to E, he is a perfect father figure in her life. We live together so his presense in her life is constant and more importantly, his commitment to be a great father to her is constant. They are amazing together.
Her father (V) just moved here about 6 months ago. *sigh* It's been an adjustment. He has been mostly absent for the couple years. He's coming off a coke habit and wants to be back in her life with all these big beautiful plans. And just like always the big beautiful plans fall apart with a billion excuses as to why. But to try to be positive - He is here, off the blow (at least, I hope he is), has a stable job, and I'm not quite sure if he has a place yet, but he has been comfortably couch surfing for the last few months. I have recieved about $100/month in support, but it's sporadic. But really $100 in the land of parenting is chump change. He's trying, and I totally respect that. He is a bigger presence in her life than he has been. I just want him to try a little harder, alot harder. We will get there, it'll just take time. I hope.
So I can't really claim the term "single mom". I do almost everything . The planning her life, PTA stuff, I pay ALL her expenses, etc etc. The only thing I don't do is drive her to school (cause either E or V does that)
So Sole Provider, I would claim "single mom" if E wasn't in my life.