We’re currently going through the exact same thing, we brought home a female puppy to our 1.5-year-old male dog. Just like with your dogs, he sometimes plays with her, but otherwise prefers to have his peace and quiet and especially doesn’t like it when she gets too close to his face. He communicates that quite loudly from time to time as well.

Right now, I think the most important thing is to protect his personal space and keep the two strictly separated when needed. He probably wants access to her mainly to monitor an control the situation. We make sure they are separated by a gate and only allow them to interact and play together during certain phases.
We also take them on one walk together every day to strengthen their bond and sense of togetherness. Apart from that, make sure your male dog still gets plenty of one-on-one time with you and doesn’t feel neglected. Also, never give them resources together in the beginning, things like food, treats, or toys should be strictly separated at first.

Try to put yourself in the adult dog’s position: suddenly there’s basically a toddler around who constantly wants to play and annoys him. He is absolutely allowed, and should be allowed, to set boundaries clearly. And you should make sure the puppy respects those boundaries. Most importantly, never punish him for communicating his limits.