You're going to need to do some sleep training. There will be a lot of crying. At this age you'll just stay with her, sit by the cot until she sleeps. Expect her to skip naps for a few days while she gets used to it.
Can you put her in her cot during A time, play with her in there (posting toys through the slats is a fave for my little girl) so that she gets the idea that it is a nice place to hang out? Make it as nice as possible for her, a special toy, play some soft music, you could spend a few whole mornings just hanging out in the nursery, playing in and around the crib.
If you really can't adjust these times at all, I guess you are stuck. Do you wake her from her 9.30am nap or does she wake herself? She's not getting much daytime sleep for her age.