Oops. OK don't take anything personally but I'm going to be critical here, in order to help you.
FS80 said:
What's your opinion and how to handle this situation?
The best way to handle this situation is not getting into it in the first place. You did let yourself trapped into this dead end, although she was good enough to give you three dates.
On the third date, I was trying to touch her like putting my arm around her which she let on, but didn't reciprocate
This attempt came way too late. At this stage it feels creepy because it was a touchless interaction so far. You should have broken the touch barrier *in the first couple of minutes* of your first date with incidental touching. Makes it way easier later when you want to escalate into more romantic touching.
She told me, she's not looking for a ONS or affair on the first date. She either wants a relationship or friendship. Her statement made me cautious since I liked her.
Here, you may not be aware there was a frame battle going on. Her frame: "I'm a good girl and I only engage into LTR. Give me a relationship". Your frame: I suspect it was "I'm a good, gentle nice guy and you're safe with me. I'd be glad to have you in my life". Her frame was stronger,
she won the frame battle just by voicing her "not into ONS" and you submitted to it. Go and try to get her to bed now.
A better frame would have been "I'm a sexy handsome guy and not impressed by your beauty. You're welcome into my life". If you press your frame before she does, your frame is the strongest and maybe she wouldn't even have voiced her "not into ONS". Much easier for you after.
Remember:
the girl is here on a date with you hoping you will make her submit to you. BUT. She cannot make it easy for you because it would be slutty.
Wow her by giving her what she badly wants: submit to you. Instead, it was you submitting to her frame. You failed the test. Now you're a friend.
I met this girl three times, but didn't physically escalate on the first two dates (I know, big mistake!).
Yeah precisely.
At the end of the date she told me it's more like a friendship for her and that she doesn't want to make any expectations (not what I wanted to hear of course).
End result is lose / lose. She walked back home disappointed. Now go and try to salvage the situation. Much better (and easier!) to do it right in the first place.
Now I decided to not contact her anymore. Maybe she will contact me if there's something from her side, but I think it's unlikely.
It is wise not to contact her now. You will be too needy and chasey if you do. It has to come from her - IF it does.
I hope my assessment of the situation will help you to be better next time.
Seppuku