It’s one of my own favourite combinations so I love it. As a Dane, I pronounce both Anne and Rose as two syllable names and I think that makes it even nicer. But it’s just lovely in English as well. Definitely something I’d name a daughter.
I loved a book as a child called Dogger. The main character had a sister called AnnieRose, which I thought was lovely.AnneRose is unexpected and pretty.