I think we're missing a vital piece of info - your girlfriend's nationality. If she were a UK citizen then much of this wouldn't be an issue, she could travel for medical care or a wedding. I'm going to assume she isn't a EU citizen and hence the problems. If you don't have a Qatari RP then you can't marry here. If she can't get the time off from work or can't get to Cyprus, that's another problem. The Maldives is also a site for quick weddings. I think the first priority is to protect her from possible sanctions here then figure out what will work best in the long run for you both. Good luck!
Mandi