how about what filipino's are famous for nursing, 4 years training thou, but looks like the nhs will be short of nurses again in the next few years, and who knows they might be allowed to start sourcing nurses from outside europe again and making it easier to get a workpermit, local hospital near me has over 100+ filipino nurses working there.
also after 5 years of working here, she will be able to apply for ILR, so even if you don't get an annulment you both can still be here together...