Geek, I’m in a similar position, mine’s half erupted and positioned diagonally nudging the next tooth…and it’s been like that for nigh on 50yrs. I make sure I floss the in between space every time I’ve eaten something - which might sound extreme, but it’s the sort of space where little nasties will thrive.
Are you a long standing patient of this present practice or a new patient there? The reason I ask, I’m assuming you are over 50 (being on here) so must have had the tooth a long time and wondered why your dentist is now mentioning removal when you have no discomfort? If you find it awkward to clean there now, are you suffering with any hand problems ie gripping the brush in any way?
Have you a hygienists at the practice? If so, the dentist should be referring you to them to help you cope with cleaning around there and showing you the different brushes you could use. Whether you use a whizzer (electric t/brush) or hand brush, I don’t know, but using a soft small brush (child’s) and gentle brushing the area with that and/or single tufted brushes to help clean near the gum line are useful and they should be discussing these with you.
I use the whizzer and as the usual interdental brushes are too big to fit the space, there’s just enough room to use the tape type floss, but not the ‘cotton looking type’ as that ‘cuts’ and makes my gum bleed if I’m not careful.
If you’ve no discomfort but bleeding when brushing, perhaps it’s possible you may be brushing too vigorously or angling the brush wrongly especially if you use a ‘whizzer’ . You might be ‘bothering’ the gum line around the tooth, which I do sometimes. The hygienist would be able to advise on that too.
If your dentist hasn’t noted any problems with your gums on examination then they must be ok. So, there’s no need to go private for that. You are entitled to have an x-ray in Band Level 1, as part of a check up. I go to every 6mths, but don’t have an x-ray every 6mths, unless I have a problem. If your dentist has come up with removing whichever tooth it is, I would expect an xray to be taken anyway for them to view the roots before extraction.
But all in all, if you routinely practise good oral hygiene, floss regularly and clean your teeth regularly and you’re not in any discomfort, I can’t understand why you should have it removed.
Apologies for all the questions - just trying to understand the reasoning for having it removed.