It's very easy to find perfume free products in the UK. Even if you live in the most remote parts of the country there is something called the internet, which you are using now.
I've been allergic to perfume all my life but ignored it until I had a massive flare up about 25 years ago. Since then everything in my home has had to be perfume free. It is now incredibly easy. And you don't have to pay more, although as I have very sensitive skin/suffer from asthma, etc, I mainly stick with the green products I started using years ago when the mainstream choice was simple or clinique.
Perfume free shampoos and deodorants are all easy enough and do the job. I've banned my teens from Lynx and its friends, and issued showers and a perfume free boring roll-on. And hope PE is not on hot days ...
Perfume free loo cleaner is absolute shit though, when you live in a hard water area, so sometimes I buy strong stuff, open windows in advance, squirt and run out of the house for a couple of hours.
I accept that the whole world can't change around me. I was once nearly sick on a crowded train when a woman behind me sprayed on her fresh dose of perfume on the train. I wish people were more aware how awful this is for some of us. I couldn't move from where I was. I had such a bad migraine I was unable to work the next day, which was an utter pisser.
I have been a hospital inpatient, and been made unwell by the scents staff wore. One HCA was very offended but I had to tell her why I was suddenly vomiting. She told me it wasn't cheap stuff, spectacularly missing the point about allergies!
I'm surprised it's not advised more in health care environments, after all we are all advised not to use scented products with our babies. Yet people still think stinky Johnson's is a good idea ...