Sounds to me like things are settling in very well, he plays with her when needed and chastises her when he doesn't wish to be bothered or have her in his territory.
It can take a lot of dogs a long time to accept a puppy so for a male he is doing great. **thumbs up**
Remember, most adult dogs don't necessarily enjoy playing with pups, they can become pests, they are rough, they bite, drag and scratch and don't know when to stop, it is why the pup should be spending most of her playing and learning time with
you and have doggy etiquette installed by your dog with a
little play and bonding time, but take up the slack of play yourself, he is not a dam or lower ranking bitch who will tolerate puppy play, it's not his job to entertain the puppy. He is perfectly entitled to tell her off and show he is fed up. Just limit the damage by not putting him in that position.
So, just make sure he has plenty of alone time away from the puppy.........you will see in a few months they will become the best of friends he will adore her and she him, although a bitch generally rules so the roles may soon reverse

Just be patient, take up the slack of playtime and fill up the pups time with training games, making sure (as you are already) in giving lots of time to your adult too.
It will all work out just fine.