Hi there - re utrogestan - most gynae specialists should know about vaginal use of utrogestan as this method is widely known and used (and licensed on NHS) in this way for fertility, as well as on the continent for HRT. Once your specialist has prescribed it this way anyway the GP should just accept the prescription, since many gynaes (and GPs in the know) prescribe stuff off licence - because they've read more about it. eg cutting Evorel conti in half, or using Cyclogest as HRT progesterone.
I have never visited a private gynae nor meno clinic but my GP knows I use it vaginally and have discussed with her, and my knowledge of this use, and she just puts on the prescription "Use as directed". I can't see any problem with this nor keeping it secret! However as honeybun says if you preferred you can just go ahead and use it in this way! Really - don't worry about the GP! I mean they're not going to refuse to prescribe it are they, if that's what you'd prefer?
I can see the advantage of trying this first - ie don't have to go for a fitting - but I think you may end up with heavier bleeds if you use it cyclically on 11/12 days per month, as you are very early on the menopause journey - but then again you may not!
Hurdity x