E.R.
Honey, your daughter is 2, end of story! That's just the way 2 and 3 year olds act and it is MADDENING, I know. A lot of children also react differently to daddy- whether because they don't spend as much time with him or his deeper voice, or whatever. You can't let it make you crazy!
All you can do is be patient! Seriously, now is when you have to reach deep into your mother-well of patience and love that you didn't even know you had!! Remember that this little girl is learning how to react and interact with the world and you are her world right now. How you behave and react is going to set the stage for her behavior for the rest of her life.
That said, you can't let a toddler run your whole house either. You just need to keep gently and firmly correcting her, over and over . Re enforce GOOD behavior with positive things- rewards or special time with you, etc. You just have to be consistent. Try using a timer set to just a couple of minutes for certain activities.
If she does something you DON'T want her to do- have something else you DO want her to do set up and ready and re-direct her. If you have to leave her in a pack and play for 5 minutes to get some laundry or something, do it. YOU set the rules- just try to set things up so they are rules that are realistic for a 2 year old to follow.
Remember, at this age, it is less about being 'bad' or defying your authority, and more about learning what reactions she provokes based on what she does. I know it can be frustrating, but remember, she can't really control her emotions or actions yet in a lot of ways- you are the grown-up, so you have to control yours. Your little girl loves you- but she will make you crazy for a while with the 2s and 3s, so just be prepared for it!