So very sorry for what you are going through. I say try it. If you don't like it, don't go again but you will know. I love cruising, my husband not so much.
I went through a very stressful life situation about 10 years ago and needed some time away and went on my 1st solo cruise. It was a 5 night and just enough to know I loved it. Most folks are very friendly and it's pretty easy to strike up a conversation. I've been on 60+ cruises and now have done about 10 solo. My most recent was an 11 night last Nov on Princess. I am just off a family cruise with my siblings/spouses yesterday and now know why I love cruising solo. I am only responsible for myself.
Personally, at this time in my life (I'm 65) Princess is my favorite cruise line. Great service, food is good, beautiful ships. (not many children).
Taking care of yourself is just as important as taking care of others. Book that cruise and hopefully it won't be your last.