I haven't had really bad experiences when I've shared this. It's been more neutral, like I was talking about the mail being late. So I just don't bring it up anymore. I wonder if it would help to begin by saying what you're looking for (support, understanding, a way to cope, someone to listen, a release valve...whatever it is you need) before you share. That way your therapist at least knows your intention.

I have told mine the quote from David Foster Wallace to help explain:

“...The person in whom Its invisible agony reaches a certain unendurable level will kill herself the same way a trapped person will eventually jump from the window of a burning high-rise. Make no mistake about people who leap from burning windows. Their terror of falling from a great height is still just as great as it would be for you or me standing speculatively at the same window just checking out the view; i.e. the fear of falling remains a constant. The variable here is the other terror, the fire’s flames: when the flames get close enough, falling to death becomes the slightly less terrible of two terrors. It’s not desiring the fall; it’s terror of the flames. And yet nobody down on the sidewalk, looking up and yelling ‘Don’t!’ and ‘Hang on!’, can understand the jump. Not really. You’d have to have personally been trapped and felt flames to really understand a terror way beyond falling.”

There isn't anything they can really do if someone is committed to following through, so maybe some of the standoffishness with some of them is just assessing the risk. Often, though, I think it's that they really just don't understand. And honestly, I don't care. If they don't want to hear it, it's a good way for me to know I need a different therapist.