@Doctor Sleepless,
Break off today/tonight.
You don't have to give a reason.
If you want to, try not to be mean but be honest.
Long distance relationships are difficult at the very best of times. When at least one person really isn't interested, there is absolutely no reason to try to make it work
Break it off.
Let her know that you will be blocking her on social media for at least a month. Blocker her on your phone as well.
Don't let tears/hysteria/threats change your mind. Be calm, be cool, be honest - whatever it was is over.
Take some time to meet young women locally. Join clubs etc. Keep busy with school and activities.
The timing of her birthday is irrelevant. Get it over with.