How do I go about apologising to a woman I freaked out in French lessons 4 years ago?

Question

Coincidentally, we both enrolled at uni (first year) in 2005.
& may have even had studied 2 of the same first year units
but before withdrawing from uni at end of 2006,
I didn't want to disturb/interrupt her from studies, and although at times on uni campus and in town she makes eye contact/looks at me more due to wanting to be aware/on guard of surroundings and personal space I haven't gone right up to her though have been in vicinities passing by or studying but I am uneasy, reluctant and apprehensive to go right up to her within the closer of personal space zones to apologise/try give her a apology/declaration of non harm on paper to formally express my discomfort & unpleasantness to have caused her any grievances which she I assume she probably feels (unless I'm paranoid) unsafe, uncomfortable when I'm around/about. This paper I put together has info on self defence for women genuine references & contacts & apology incl. acknowledging recognising her rights to feel safe comfortable

When I found out I was in the same Philosophy 1B Tutorial as her in first year (2nd semester), I refused to go the tutorials.
Some weeks later when I told the tutor, she urged me to go by which time I was shuffling my timetable to sit in at tutorials at other times so as to avoid this woman. I couldn't simply change to another tutorial as they were all full from the 1st week of semester. I didn't want to disadvantage other students, I sat in other tutorials, trying to be mindful each tutorial had a maximum number of 18 students.

I think it may have been due to some stupid comment I wrote down on a note at the time, which I read somewhere online at an earlier stage made by teenage girls about how the French word for swimming pool has a kind of similarity in spelling if not pronounciation to a word in English. Suffice to say apart from this one bad choice of judgement, action I made, I am usually a mature bloke.

Answer 1

Wow, you must have really done a number on her. There is the possibility that you didn't bother her as much as you think. However, I would say just walk up to her say sorry about what I did, and this is for you and hand her the note. Then leave her alone as you have been doing.

Answer 2

Sounds like you made a large error in judgment.Attend your classes and sit as far from her as you can. If she has no reaction that is good and you can relax. If she seems uncomfortable tell her you are sorry and were misled about what the word meant. I hope for the best.