First you need to confirm that your doubt is real, you may also have to go for a break up if she is really cheating on you, because the foundation of a relation is trust. And if trust is not maintained then it is difficult to live happily together
If you don’t get proper proofs and are still suspicious then you may go ahead and clear your doubts. It is always better to talk and clear things, instead of keeping misunderstanding in the relation. If she is serious about you she will not leave you because you asked her something. Also if you feel insecure that you are losing her than you should even share this feeling with her and ask her what is causing the distance in the relationship?