Hi there. Yet another sad situation for a child of separating parents - where the one who moves out (and away!) puts their needs first (as it seems here).
Having PR doesn't mean that your exP has the right to create a contact schedule to run exactly how she wants it. She left, and time is needed to fully negotiate arrangements that will work best for your DD and and both parents. This should also include your DD's current activities.
You are your DD's primary carer (definately now) and so I say, make a reasonable suggestion of your own, were each thing you suggest is clearly in your DD's best interests over everything else, and until there's compromise, your exP has to see your DD at your residence for contact visits. Arrangements regarding a child's welfare should not just be done quickly and ill thought out. Your exP just walked out, so she has to deal with the consequences. Right now, she's making unreasonable demands. Having PR doesn't give anyone the right to do this, never mind a parent who walked out.
When you've come to an agreement (yes there may be some conflict!), I'd suggest writing it up and both signing it. This is what I did when I divorced my ex (I didn't use a solicitor!), and the courts were happy to not intervene at all. My current partner on the other hand has had to get a court order to arrange contact / residency, etc., for his two boys. I have a strong feeling that if the authorities were involved (as for a divorce) they'd be quite angry at your exP's ill-thought out, selfish suggestions.
Your exP should realistically (for now) visit your DD, maybe take her out for the day, but then return her to her home where she has security and stability. Your exP should not even be wanting to try to integrate your DD into a new family at this stage.
Oh and I wouldn't agree to every weekend, because that means when your DD starts school, you only get before and after-school with her, and there's little time to take your DD out for the day, etc. Alternating weekends is definately better - or one weekend day each (which is what I do - but we're flexible!).
I'm sorry you're in this situation, especially when your were not expecting it at all. You must be feeling terrible. I do hope you work something out.