And I have something to say I was at my house I haven't touched for about 7 months now using hearthfire (house in the icy north of skyrim) and my lvl 41 more was collecting some seal meat to give to Lydia to see if all she ate was bread when suddenly a dragon attacked and I fus to dahed him to throw him off balance but I threw my daughters dog along with it (thank god it wasn't the mudcrab) and killed it and she hates me, even after a few days real time which has been like 20 skyrim days of playing in total she still hates me and runs away what do I do?

There's a whole section for spoilers:

http://www.gamesas.com/forum/178-skyrim-cheats-hints-and-spoilers/

OK I forgot about that but my problem?

Wait it out. Your character's daughter will eventually speak to you again.

Bribery? Maybe a big allowance, or lots of gifts?