Cats are crepuscular, most active during early morning/twilight. It's who they are, what they do, something you can't hold against them because they are just being themselves.
Some people lock their cats out of the bedroom at night, I have never done this. Sometimes it works and sometimes it completely back fires where you have a kitty crying and clawing at the door and floor.
I have always done the ignore and hopefully they give up, or counter them with a hug and hold, keeping them snug next to me and drown them with attention, kisses and heavy petting, to the point of them regretting waking me

. Maia is very polite and respectful, she wasn't always but it didn't take long for her to realize she was better off this way

. When she was a kitten she did the foot and hand attack, I just tuck them under the covers and play dead. If that doesn't work I do the scoop and snuggle...........
It is completely possible to have them respect your sleep but you have to respect them for simply being a kitty as well. There are many mornings I am woken by Maia either digging a hole to China in her litter box (We have a 1 bedroom apt.), or running around like a freak, or sticking her cute little face and whiskers in my face, all in attempt to maybe wake me and be fed.........Just more reasons to love her


