Hello. can the level of anxiety be to such an extent that one feels the need to urinate only shortly after drinking fluids?

Sure, but...: Doctors don't start with that conclusion but instead will do an evaluation to look through the various conditions that can cause such a symptom. In the end, it may be that a person pees shortly after drinking because he is "thinking about peeing." We all know that thinking about peeing will cause a desire to pee. But first, an evaluation.