So sorry to hear you were confronted like that. I know it is scary but I am sure they only want to help

The thing I have found is to always be prepared ahead if you can. Think of some of the questions they might ask (why, how, when, are you suicidal) and prepare your answers for them. You are also able to say you aren't comfortable with answering those questions but will talk about them when you are ready. Most people are curious and want to check you are ok, but if they believe you are ok and acknowledge what's happening they often back off

Good luck