We had a lot of issues with our daughter not sleeping separately when we came home from the hospital, but I think that's normal. After about 2 weeks she would sleep in the bassinet as long as she was allowed to sleep on her stomach (I know that's not recommended but it worked for us)
We had this problem as well. We weren't getting any sleep because baby is such a restless and noisy sleeper when sleeping in his bassinet. But when laying on my chest or cuddled next to me he sleeps deeper and soundly. If she's actually going down just being restless and noisy and keeping you up maybe try moving her to the nursery. We had to do it with our son at 2 weeks. I couldn't take it anymore. Lol now we just hear him when he's actually awake and needing something.
The poor little thing has been used to listening to your heartbeat and being nice and warm in a small space for the past 9 months. The cot is colder, there is scary empty space around when he stretches his tiny arms, and it doesn't have a heart to beat. As much as we grown ups need time to adapt, so does the baby - even more so. Give it time, they are only that small once.
We have our kid in bassinet at nights, no problem. We bundle him in muslin cloth and have a heartbeat white noise that seemed to help.
You can try getting a bear with beads in it. Lay it over the child's chest. Should help.
The 3 nights we were in hospital my daughter slept with me and the first night home your baby just spent nine months inside you they expect to be close to you