You have so many options!
If the mirena is your first choice, I would start using vaginal estrogen right now, in order to get your vagina and cervix into optimal condition, and get looking for a specialist to fit it, whether that is NHS or private.
Some private specialists may have a no fit no fee policy.
You could also try a local sexual health clinic, especially if you are able to pass for 10 or 12 years younger and say it's for contraception.
There is also the combination patch, or oral desogestrel, drospirenone, norethisterone or provera.
None of these involve taking oral estrogen, and are not contraindicated after a TIA - if you have actually had one.
Personally I wouldn't accept a "suspected" anything as barring me from any kind of hormone therapy, I would only take into account a definitive diagnosis. In particular the
?TIA label is sometimes thrown around a bit too easily when someone over 40 has unexplained neurological symptoms.
I'm not saying this is the case with you, but certainly a lot of women have suffered needlessly over the years after being told they can't take the pill or HRT, on the basis of very vague symptoms for which no pathological cause was ever found.