I should be so lucky Dove (mind you, I should be so lucky Fidget bones! ). It has seven leaves (leaflets?) on its ? big leaves what on earth are bits of rose called? and I thought more than 5 meant it was evil full stop. The new growth is exceptionally glossy though - I don't know if it was 'almost evergreen' because it didn't have any leaves until I cut the ivy down. I'm more than happy to live with its nasty spikiness if it's pretty, which Mermaid certainly is; should I still cut it right back (again) and see if it comes true, or leave it and see what happens?
"More than five leaflets is bad" is only applicable to Hybrid Teas as it would indicate that the growth comes from the rootstock rather than above the graft.
There are loads of other types - ramblers and lots of species roses that have more than five leaflets - my dear mother in law dug out and scrapped the most glorious Rosa glauca the year after father in law died as she thought it was a sucker (she wasn't really a gardener, it had been his garden and she'd not noticed that fantastic rose in the corner fo the garden). I didn't have the heart to tell her what she'd done.
Don't cut it back - see if it flowers next summer on the wood it's growing now. Then you can decide what you want to do with it long-term