Shalluu, agree in a medical school, there are many students with same name. But here Jagya was told that she works in that particular hospital when he called her previous hospital SNG.
And if indeed there was another doc with the same name, the receptionist would ask him which Gauri he would like to meet, isn't it?
Yes, he should have made one more attempt instead of returning to Jaitsar in a hurry or at least contacted her parents to make sure she is alright. This is what I feel.