Is it normal that i am in a relationship with my ex teacher?

Hi, i am still at school and for the past two years i have been being taught music theory by a man on a very extended gap year! I was introduced to him by someone that i shared a dorm with who obsessed over him and so went to my first lessons with an apprehensive mind set and indeed proceeded to have a purely teacher/student relationship with him for the whole of that year. The beginning of the next academic year started in a very similar, normal way. We proceeded with lessons and grew to be friends as he had been teaching me 1 on 1 for a year and that was quite natural. We got closer and closer and really began to open up to each other, he became a kind of support mechanism as he was a constant, a stable thing that i had become so accustomed to, i would see him for an hour a week in our lessons on a Tuesday and then around school and in choir. I broke up with my boyfriend of 2 years that February and, although we barely discussed it , just knowing that he would be there to talk to about trivial things at that set time every week made it so much better, and kept me strong when my ex was pleading for me back (he was very controlling). Long story sorry! Our relationship got stronger and stronger and we started sitting together in choir every week so that we could be together more. We were both so aware of how incorrect it was and therefore never discussed how we were feeling at all, we remained very professional about the whole thing, but it was becoming clear that we had become very very close and cared a lot about each other. He would take me into a practice room and play me songs expressing how he felt about me, because he knew that he couldn't say it- i would sing along. Obviously at this point neither of us knew how the other one felt and there were so many times that i thought that i must have been misreading the signs. But on the last day of term, the day he left to go to university, i was shaking hands with all my teachers (a tradition at my school) and i came to him and i mouthed to him "i love you". Later on whilst the rest of the school shook hands with the 6th form leavers we went up to the music department together and he sang 'it must be love by Madness' to me and we both talked sadly about the fact that he was leaving and i may never see him again in a still teacher/student way tho, it was weird, in school we never broke that. But we did see each other, we have seen each other quite a bit this holiday , i am truly in love with him at the moment and he (who is very inexperienced) seems to think he loves me too, he is only 4-5 years older than me but in our society it is deemed wrong, to us it feels right , our relationship is not sexual, we do kiss but no sex. Still we don't talk about putting a name to "us" we are not "boyfriend and girlfriend" or "partners" we both just have this unspoken understanding that we care for each other a lot and would not be as happy without each other. The problem is, at the back of my mind i know that it is wrong and that we will not be able to keep it up when he goes to uni, and tbh i am so scared, i am so used to him as this constant thing and i dont know how i am gonna feel with out him there having to go back to school and sit in those rooms where we shared those moments alone. For peace of mind- Please be honest- is it worth it ? Is it normal?