A.,
this is totally normal. Most breastfeeding advocates will tell you that really up to a year, an infant may wake at night for food.
Don't dispair of nursing to sleep. As she grows, she'll learn and so will you. I can count on one hand (twice) the number of times that I haven't been the one to put DD to bed.
Are you doing any sign language with her? My dd started signing milk at about 9 months. Not long after that, she picked up all done. Starting around a year, she'd occasionally stop nursing and tell me she was all done, then snuggle down in my arms. I started moving her into her crib while she was drowsy at that point. For the last 6-8 weeks, (she's almost 17 months now) she's been nursing for about 10 minutes and then she pops off, smiles at me, and signs all done. She gets put into her crib, the lights get turned off, and I come back downstairs with no tears. It's wonderful.
When I'm touched out and at the end of my rope, I take a few extra minutes to snuggle her, especially at naptime when she tends to fall asleep in my arms. It always helps me to remember that no matter how hard I think it is right now, in the moment, this phase is going to pass quickly. In 6 months or a year or three, I'll be willing to trade just about anything for one more day of her being tiny again.
Hang in there, you can do this!
S.