Was me too strictly a women’s thing
The intention of “me too” was initially to draw attention to how many woman have experienced sexual assault, so yes it was for woman.
For the record, Kentucky’s rate is 1-2 woman experience sexual assault (just to give you an idea of how big the problem can be in some places).
However, I believe that anyone using it as a chance to speak out and call attention to sexual assault as a whole- any one who has had to deal with similar situations should feel free to use “me too” as a tool. You’ll be hard pressed to find many people who discourage or revolt at men using “me too” to talk about their experiences.
If one wants to speak out about their sexual assault and avoid derailing(again I dont see many being upset about the use) the meaning of “me too” instead of saying “me too” you can say you were inspired by the movement.