Uncertain-Home study Background checks

Hello- I am totally new to this process and am concerned about the background checks. I had an issue about 7 years ago where I was in an emotional arguement with a friend who was out of the country. It was via e-mail and I said something that made him think I wanted to hurt myself when what I REALLY meant was that I wanted to end it with him. When he couldn't reach me, he got worried and called 911. They came and ended up taking me to the ER just to verify that everything was OK. The result was that I was told to be careful what I type in e-mail. The question on the home study is Have you ever sought the help of a mental health professional. The answer is No and I confirmed with and adoption counselor that as long as I didn't set up meeting with a therapist or was instructed to then that answer is fine and I shouldn't bring it up. My concern is whether a background check would identify this somehow. Can anyone provide advice? Will doing my own FBI and police clearances ahead of time give me peace of mind? I don't want to hide something that should be addressed, but I also would Love to just forget about it. I never told anyone about all this (including my husband). It was just embarassing and I had just moved on and not thought about until now. Please help!