Girls do cold approach. I'm a 6 myself and they do cold approaches and fcloses. It all depends on your value. If you're a nobody, even a nobody with good looks, forget it, although sh1t does happen I guess once in a blue moon. If you're like me own your own business, women will occasionally come to your office like they do with me, and just throw themselves at you. Some of it will be to get sh1t done for 'free' in exchange for sex, others will do it just because they find you hot (I'm 6) and want sex with you. I'm not sh1tting you, I have experience in this. Moreover I had some porno that happened this way in my office saved from my security camera. Wanna see?
You are more likely to be perceived by a woman as high value if you got your sh1t together. Have your own apartment, house, car, and number 1 goes to being a business owner.
It does happen, I don't see it happening in your situation though. This just means you will have to do approaches. I do not do cold approaches as per advice of great men. Women that don't find you remotely hot will not be interested so why waste time and sweat over this stuff. You gotta look for clues, plenty of videos nowadays on that subject. She throws you clue, you approach. Women expect men to approach, she will be flattered. Doesn't mean you score though. You approach and you raise your interest level in you, try to qualify her from the mind set of there is plenty more b1tches around, not just you one.
So in your case, you rated yourself 7, I doubt it. But in your case right now in this point of time, women will not approach you, forget it. However, women will throw clues at you, learn to read those clues, and learn to respond to them.
Now about being approached by a woman vs you approaching. Some of the greatest sex I ever had, greatest in duration, boner quality, orgasm quality, is when I approached and fclosed a woman. The other way around, when woman approached me and fclosed me, it wasn't all that at all. It was just flattering psychologically, it was more of a psychological gratification than sexual. It was 5 out of 10.
Do the work yourself. Don't say no to OLD, don't say no to field. As far as anxieties go, realize that the way they respond to you depends on the circumstance, has nothing to do with you, so don't take it personal.