I haven't had a female Syrian but have heard some have a stronger odour than others, and some people are more sensitive than others. I would suggest getting one of those little air purifiers that removes odours
The ones that work aren't cheap, that's the only thing. I don't hink you'll get an effective one under £60.
This kind of thing - removes dust too!
https://www.amazon.co.uk/HoMedics-Pu...l+air+purifier
As Souffle says though, important to rule out an infection. What kind of smell is it?