Hi josie48, impacted wisdom teeth can cause a number of problems (as you seem to be well aware unfortunately for you) one is that you can get inflammation of the tissue around the tooth, because part of it is below the 'gum' and food tends to get stuck here this can cause inflmmation, swelling and pain.
However unless symptoms with the wisdom teeth itself recur frequently impacted wisdom teeth are usually left in place.
Another problem they can cause its decay of the back surface of the tooth in front because food gets stuck in this region and its difficult to clean, however it sounds as though your dentist has examined this tooth and is happy there is no decay there.
Throughout life we do get a variable amount of recession of the gum and this can be excerbated by chronic gum disease, episodes of gum disease or local areas.
The problem with having an impacted wisdom tooth is that it can contribute towards recession of the gum of the tooth in front.
When the gum recedes it exposes the root surface which can be very sensitive, assuming the 'gum is stable' then hopefully the recession will not get any worse and in that case your dentist can apply topical agents/varnishes etc.. to reduce the sensitivity and also you could use a sensitive toothpaste for normal use and also apply a small amount topically to the sensitive area (although some people do find this irratates the gum so be careful).
If this is the case the sensitivity should reduce over time as the nerves inside teeth essentially 'shrink' in response to continued insult.