Think about possibilities for compromise. Perhaps she could begin her homework on her own and you could check on her every 15 minutes or so to see if she is getting it done. Or perhaps as she completes each assignment, she could give it to you to make sure it is done correctly. In this way you would not have to supervise constantly and she could still feel somewhat independent.
You could also work out a positive reward system for your daughter. If she is in the upper-elementary grades or middle school, let her choose a reward for which she is willing to work. Remember that rewards don't have to cost a lot of money -- your daughter might work toward having a sleepover with two or three friends or going camping with you. Set a number of days of successful homework completion that will earn the reward, and ask your daughter's teacher to let you know each day how it went.