I hate how horrible I'm being to DD (3). It's not her fault that she has a baby brother who refuses to sleep, meaning that I'm utterly exhausted in the morning. He only sleeps two hours at a time, maximum, so I get stretches of less than that. Haven't had more than 3 hours in a row since he was born 9 moths ago.
When DD wakes me (usually just before DH goes to work), I can't help being snappy and horrible. I don't want her to touch me and cuddle me (why she'd want to, I don't know, I'm such a bitch to her). Usually, I get better at dealing with her once I'm up and dressed, but I worry about how she must feel with this inconsistent and horrible snapping. It's only normal 3 year old stuff that's driving me mad. I hate myself for it.
What can I do before I ruin our relationship or make her resentful towards her brother?