I am having hyper vigilance issue in my daily life I self diagnose myself of having hyper vigilance, maybe as a result of having psychological trauma in the past. It is a condition where I can't really trust other human being. Often perceiving other human being around me as a threat. I am completely relax near animals or very-close person.

My condition is not severed, only fired up if certain condition arise. For example when speaking to new business acquaintance, I am in alert condition frantically trying to gather and analyze as much information as possible before giving out comment or response. Somehow I have feeling that I will be doomed if I didn't give a perfect response.

what kind of buddhist teaching that can ease this symptom?
First and foremost, you must establish mindfulness of the body. Your mind should always be in your (lower) Dantian. Initially you may have to do exercises, push your abdomen out 100 times, several times a day, until you get used to being aware of your dantian.

Whenever you deal with people (talk to strangers), you should force yourself to stay in your body. Do not "fly" over to their perspective, or to some imaginary point in abstract space. Stay inside your body.

You need to develop a good posture, good grace, and good gait. You should sit, stand, and walk conveniently, with good energy flow.

Second, you need to stop relying on people's opinions for your right-and-wrong. Your right-and-wrong should come from Dharma. When your right-and-wrong comes from Dharma, as long as you act by the Dharma, you'll no longer care what people think about you. Then you will not try to please them or be likable. Then you can be your own center, with Dharma being your center.

Third, you should also sit without doing anything for one hour every day. When you sit you reconnect with your center.

To summarize, develop awareness of your body esp dantian, stay in your body when you talk to people, develop grace, don't try to please people - instead be your own center acting by the Dharma, sit daily and reconnect with your center.