You desperately need to calm down. I appreciate you are upset but this is not about you, it’s important to find a way to coparent your child together. Often that means both parents have to suck some things up and do what is best for the child. As soon as you go down a route of thinking ‘my child/house/contact’ you start creating friction that will only harm your relationship with your child.
Firstly, you were very unreasonable to think that having a baby with someone with whom you don’t have a stable relationship with would result in you having a lot of input straight away after the birth.
The baby being separated from the mother overnight at such a young age is definitely not in the child’s best interests.
Seeing the baby in small, very regular bursts is what is best though so it is good that you were doing that and a great shame that you have allowed this overnight issue to escalate to such a point that you are not seeing the baby at all.
If you are not comfortable with staying overnight with the mother and the baby then it is in the baby’s best interests that you wait until she is older for overnight contact.
Research tends to say not until the baby is 3 is best.
You being around so very often is likely to feel very intrusive to the mother if your relationship is not stable. I think you need to really appreciate that by allowing you to ‘spend every minute’ with the baby the mother is tolerating that intrusion to her cost purely for yours and your baby’s benefit.
I would not recommend that you jump straight into court as this is a last resort option which is only in the interests of the children of very high conflict individuals (who may need the protection).
Your relationship with your baby will not be damaged by a small break whilst she is newborn. Though I appreciate it may be upsetting for you.
I think you need to accept that it was wrong to push for overnights, take a break, apologise for pushing for it, give up on any possibility of the relationship between you two working out and then try to work out a proper schedule for you to see the baby (stick to it to reduce conflict) and if this becomes difficult try mediation.
You are not helping yourself at the moment with this high level of expressed emotion.