Is this wrong?

Okay so I am posting this anonymously because I really just want honest opinions. I have a 4 year old daughter and for the past few months I have been having to work 6 days a week (I have to be at work at 7 so we are up everyday at 5). Well come Sunday I am just Exauhsted. So when she wakes up (usually around 6) I wake up, take out the dog with her, help her feed the dog, then make her breakfast and put her on a movie and then I go lay back down. Now my bedroom is right beside out living room and I leave the door open and she knows she can come get me. I normally lay back down until her movie goes off 1 1/2 - 2 hours and hen I am up for the day but after working all week my body just will not wake up at 6. Is this wrong of me? I feel terribly guilty about it but it's not like she naps anymore. When she's up for the day she is up and we go nonstop. I love her to pieces but I can't do that if I can hardly keep my eyes open.