Go for it. Better to regret you tried, than to regret you didn't.
Also, remember that success is accomplishing the goals you have control over. If you invite her out, and she doesn't want, (as in my case

), you are still successful, since you tried and did what you wanted. This is what you have control over, your actions. You cannot control her decision.
So, if she agrees, congrats! If she doesn't congrats to you for successing in trying and don't take it too seriously.
All are experiences in your log, and you mature because of them. Even if it feels bad, you still mature because of it.
My 2 pennies.