B., I encourage you to think of the situation differently from having her "need to obey". Is your most important goal that she obeys your rules, or is your most important goal that she does what she's supposed to do? Doing what she's supposed to do will go far because this will guide her decisions when she is with you and also when she is away from you (or eventually any adult).
I try to parent with long term goals in mind. What do I want my child to be as an adult - well balanced, emotionally mature, strong morals, good decision making skills, etc. And even at 1 yr old, I started to lay down the pattern of our interactions. Approaching things from a "my way or consequences" pattern vs. approaching them from a "keep my boundaries AND still honor your feelings" pattern will give you very different dynamics in your relationship with your daughter.
If this sounds like something you'd rather be learning, I encourage you to start learning about Positive Discipline. You can still keep strong boundaries & teach your child what is and isn't acceptable, but you aren't in a me vs. you relationship. You are becoming a close and trusting family that is there for each other. There are online email groups - even a twin cities api one found at groups.yahoo. Plus many great books by Dr. Sears, Coloroso, Kurcinka, Cohen, Kohn ... the list goes on. Youtube even has some videos, Naomi Aldort comes to mind as one to look up.
Good luck!
L.