I know it was crap but when I was in hospital it was the such a positive thing for DH and DD. They had to spend so much time together they are now thick as thieves. I wanted her to have a strong relationshipo with her Dad as I did. He did as well but was not sure how to get it.
He has been very hands off with G as well but the other day when we picked him up from nursery he turned from me to DH and DH was almost visually plumping up with pride that he was the chosen one.
It is difficult as the primary carer to step back and let the other partner take responsibilty and develop their relationship especially as they haven't been that involved and you have to tell them all the things that need doing etc. EG feed child at teatime etc. For your child to turn away from you really hurts and he is probably very upset this morning as you say due to that.
It is up to him to develop his relationship with L although you can be instrumental in helping it along. Arrange for some quality PJ time and leave him with L, initially it will be daunting, he will NOT do things how you would but he is still her Daddy and he has a right to parent his daughter albeit differnetly to you. I agree you have to have some common ground rules but other than that let him get on with it.