Personally, I never let my children cry themselves to sleep, so I can understand why your partner is reluctant. However, they do not necessarily cry in their own beds! As long as they are warm, comfortable and preferably sleepy, they will sleep as happily as you do in your bed.
What about daytime naps? Where does she sleep then? Could she get used to her own bed by napping in her cot, maybe with mum holding her hand at first, then gradually withdrawing, to a chair in the room, then a chair on the landing, etc. Can you put a cot next to your bed? Then the baby can be close until she is a bit more familiar with her own bed. Goodluck - and remember, sleeping with the parents is usual in most countries!