Hmm. That would depend on the kind of "feeling". But if you are coughing up water or blood after meeting with these people, or find yourself lethargic after speaking to them for any length of time, I would consider if there may be a justu of some kind involved, whether a blood-line talent that may suck the life or air from someone, or something that could deposit liquid into your lungs or bloodstream. Alternatively, they could be restricting blood flow to your brain, which could cause both light-headedness or feeling unable to breath. I would suggest monitoring your vital signs immediately before speaking with this person or people, and then again afterward.

Alternatively, you may have some latent sensing talents, and be picking up on a mental jutsu of some kind, whether directed at you or person you are dealing with. Feeling an oppressive weight on your chest, a general feeling of malaise or unexpected sharp panic can all be signs of a genjutsu at work.

Unfortunately, I cannot help with the final possibility, that of an entirely emotional response to the person or people. Though a doctor, I specialize in physical rather than mental health, and interpersonal relationships are far from my area of expertise. All I can say is that some people are charismatic and can make one feel overwhelmed, and others seem to drain one's breath or joy away by their mere presence.

In any situation, you may wish to confer with others to ascertain whether the effect is only on you. Your doctor or therapist should be able to monitor any changes in your physical or mental behavior, and close friends can be quite observant of even small changes that a genjutsu or emotive response could produce.

But to give more specific advice, I would need more information.