Most extractions will be performed by your dentist; assume this is the case unless they advise you otherwise. General dentists are very good at handling the vast majority of things in everyday practise.
If the tooth is heavily impacted, or the risk of complications is high, (either because of your medical history, or how close the roots of the teeth lie to a particular anatomy such as a the ID nerve or maxillary antrum), they may decide to refer you to an oral surgeon to have the tooth removed.
They will base this judgment on the assessment, their experience and also the availability of specialist care. In some more remote areas, referral to an oral surgeon could mean a 5 hour car journey or more- this may still be the best way to go but each case will require consideration.
If you need sedation that your dentist doesn’t offer or a general anaesthetic for some particularly nasty wisdom teeth
, then referral to the appropriate facility and surgeon will certainly be required.
Oral maxillo- facial surgeons are specialists in procedures that involve the head and the neck- this could be fractures, tumours, cysts, wisdom teeth and all matter of oral medicine related issues. Most are duly qualified in medicine and dentistry- at least now
they must be- those who have been practising as oral surgeons for many years may not be. A dental surgeon is a 'posh' way of saying dentist and is not to be confused with a specialist oral surgeon.
One quick note on male and female dentists- extracting teeth. You would imagine that pulling teeth can require quite a bit of strength, but it is technique that is far more important. Size of biceps is not a substitute for experience and training. My tutor at Cardiff Dental Hospital; Dr Shelia Oliver was the perfect example of this- she really was a master of the forceps!