Не согласна = [She] does not agree
Увы = alas, unfortunatly.
Не запрещает = [He, it] does not forbid/prohibit
Общаться = to assort with someone

А я с этим несогластна...мы никогда не встретимся:*
увы...я влюблена...но это незапрещает со мной общатся

And I don't agree with that... We shall never meet:
Alas! I'm in love. But this fact does not forbid to assort with me.

(And remember this girl/woman speaks terrible Russian, it's bad sign I guess)