The pharmacy wouldn't refuse it, but you would have to wait until their next month's quota came in to have it dispensed. This has happened to me repeatedly in the last 12 months or so & I know other women posting here have experienced the same. In fact, it's been rare for any script including Vagifem to be filled (for that item) on the day I've first gone in to collect it. My pharmacy is around 15 miles from home & I can only get there once a week so I am sometimes in the position of waiting a couple of weeks or more to get a box of Vagifem. Essential to be organised & make sure I always have enough in reserve! This was never a problem with that pharmacy until the last year or so.
They have also found it difficult to fill my thyroxine scripts with my named brand, so much so, that after a wait of around 4 months for one strength which to date they have still been unable to get, I had to change brands for all 3 strengths I need a few months ago, which I really didn't want to do as I was stable on that brand & as you know absorption differs from one brand to another. I don't want to change pharmacies as I had only moved to this one around 2 years before because my previous pharmacy consistently failed to obtain another item with long enough dates to last until the end of a box. It had become so stressful not being able to get that, that I went to several pharmacies in the area to ask which felt they could get it more easily for me with a long enough date to last the 2+ months I needed on every box. The one I'm now with is an independent who explained that the big chain pharmacy I had been with would be tied to suppliers, whereas they would have a choice of where they went for meds to fill my scripts. Worked very well for a year or so. I wonder whether perhaps more recently patients have been stockpiling meds in fear of being short post-Brexit & this may perhaps have caused the shortages.
If your scripts are not sent through to the pharmacy electronically (as mine are) the thing to do would be to shop around if you are worried you might be short of Vagifem. Just take it in by hand & see which could dispense for you? Sorry - I know that's obvious!
Seem to have taken this off topic - you got me going with the question about availability, Katejo! Sorry everyone.