I get a tight feeling in my chest and start feeling very anxious everytime my family eats food around me, almost hateful. what could this indicate?

Anxiety: This indicates that some sort of anxiety problem is present, but the nature or further details are not clear. You would be wise to get a full evaluation from a mental health professional.

It sounds like: you may have an unhealthy relationship with food. For some reason this is stirring anxiety & anger. If you need help to get to the bottom of it, considering working with a good therapist.