Mummy Guilt

Mummy guilt is forever. The I should have done this, or should have done that will always be there.
and I'm going through this mummy guilt pretty much everyday ever since Cynthia was born but recently is getting out of control. she has started nursery recently she only goes to nursery three days a week for three hours. some mummies might think what's a big deal its only three hours a day ?
I know its only three hours but it a big deal for us as ever since Cynthia was born I choose to stay at home and quit my job as financially it was a better option for us with all the child care cost, plus we don't have any friends or family around which mean me and her father would be the only people to look after her. she never stayed without me for even an hour and then all of the sudden I'm leaving her with someone who is completely stranger for her if I was in her situation I would be uncomfortable too.

The first week was really hard for both of us we both cried every time I would drop her off to nursery. she will scream her eyes out and ask me not to leave. I felt like I was betraying her she trusted me and now I'm leaving her crying with a stranger. I felt so bad especially after coming home knowing that she might still be crying and I could have her with me as I'm not going out for work I'm at home doing house chores, even though I was working its still doesn't consider as a work "work" you know what I mean. if I was a working mummy I wouldn't have felt that bad as I wouldn't have any other option rather than leaving her in nursery.
She is settling now slowly but the mummy guilt is still here who make me question myself if I'm doing the right thing ?
specially now in these dark cold Autumn/Winter mornings where she doesn't want to leave her  bed or she is poorly or not had enough sleep I feel such a bad mum sending her off to nursery.