Your opener with commentary:
Shermal awoke with the rough stone floor pressing into his cheek and his left eye throbbing painfully. (Generally speaking, beginning the story with the character waking up is a pretty overused concept... just something to consider.)
Near his face lay remnants of the small animals that had been his dinner. The sight of their scattered little bones made Shermal sad, so he rolled onto his back. (But then looking up at the table from the floor he thought)<-- (This is worded fairly awkwardly, so you might try rewording it; italicizing thoughts indicate that they're thinking, so you don't have to point it out so bluntly)-->, Drunk again, and felt sadder.
He turned onto his other side--and instantly recognized the stylish boots of the master's daughter planted very close to his face. How long has she been there? Fear jolted Shermal completely awake.
“You’re late! You were told to be at the House at dawn!”
She brought one dainty boot back and kicked him hard in the cheek, just missing his eye. Shermal gagged and passed out.
I take it that this is a comedic story... That seems to be what the choice in style indicates. Exaggerated responses, etc. Is that right?
This is a pretty simple opener, with a lot of contemplation and exposition. Shermal wakes up, is obviously thrashed, gluttonous, regretful, and in trouble. He needs to be somewhere. Some "dainty" girl comes in and knocks him out--if he's big and strong, that works against the believability of the situation. Unless it's comedic. But then, you can only push the unbelievable so far.
The fragment seems to kill off the possibility for future development. Unless the next sentence says that he woke up a few minutes later or something, we've got someone who just woke up for a thought or two and then passed out again. Sure, he needs to be at "the House", but we don't really recognize the full extent of how significant that is (yet).
If this is just a little blurb between states of unconsciousness, then is this really the appropriate place to begin your story? Take that into consideration. All in all, it's a decent way to set up some imperatives right at the get-go, but it needs to give the reader more incentives to keep reading; i.e. "the hook".
That's just my take on it.