One of the great things about bonding with pokémon is that eventually, you adapt to one another. That is to say, tamed hoothoot will generally adapt on their own to fit their trainer’s lifestyle. It will simply take time, but once your hoothoot notices that you’re asleep when it’s awake (or, in some cases, notices that you’re active when it’s trying to sleep), you may find it going to sleep later and later each day until its own cycle inverts. Don’t worry—this is a perfectly normal process, which means you aren’t inconveniencing your hoothoot, nor is it unhealthy for it to do this. So long as your hoothoot is still getting plenty of rest at night, it will be fine.

Of course, there’s also the possibility that your hoothoot won’t change its sleep cycle. At that point, you could adapt to your hoothoot if necessary. If that’s not possible, however, simply make sure it has enough food, water, and enrichment to last itself through the night, and give it enough space and a sturdy enough enclosure to prevent it from experiencing cabin fever. I would still advise trying to stay up as long as possible and using at least one hour of the night (after your hoothoot is fully awake) to train, but otherwise, rest assured that they’re normally self-sufficient pokémon. Additionally, once it evolves, consider letting it out to fly. By then, it should know how to get home on its own and defend itself during night flights.

Best of luck!