As has been said above, different teachers will bring specific strengths and weaknesses to the party, although any teacher worth the name should know music and should know the instrument(s) they teach. Having said that the one thing all good teachers share is the ability to teach (sounds obvious when you say it like that, but you'd be surprised) - and yes, it is a different skillset from any musical talents you may have. It's not enough to be a good (or even great) player. Students don't turn up just to gape at your brilliance and hope it will somehow 'inspire' them - not if they have any sense.
As others have also said (and with all due respect), from your OP it doesn't sound to me (an ex-tutor) like you're ready for it yet. Not to say you shouldn't - just that you need to get some things sorted first.