I've been with two companies that train, each with opposite policies on training women.
Prime insisted on only women training women. The wait time for female trainers was prohibitively long and they ended up in some pretty deep hot water over it. They went to this policy because of one serious incident in which the male trainer was not properly screened and, when the female trainee initially complained, was not addressed. After that incident, they made a blanket policy that was very discriminatory and kept women from being trained sometimes for months, while their male counterparts immediately got into a truck and started earning money. There were a few women who waited nearly a year to get trained. This policy prevented me from going into the tanker division the entire time I was there. I can't recall seeing a single female tanker-yanker at Prime and it was because they refused to allow their current drivers to train women.
Swift's policy is the student may choose to train with someone of the opposite gender or can choose to train with someone of the same sex. Similarly, trainers may opt to train opposite or same gender students. I'm quite sure there are occasional problems with lines being crossed, but when Swift hears about it, it is dealt with quickly and decisively. Students have been pulled off trucks at terminals sometimes hundreds of miles from home, housed in a motel and a different trainer assigned. It is made very clear to trainers that such behavior will not be tolerated and, if serious enough, will be prosecuted through the courts. I have heard of one female trainee complaining about her male trainer in the time I've been here. She was upset that he would have risque conversations with his wife while she was in the sleeper berth and he was driving.
I was trained by a man. He was the perfect gentleman the entire time I was on his truck. He did his job and I did mine. It never crossed my mind to complain about anything he did or said...because there was nothing to complain about. I was trained in a timely manner and began earning money at the same time as the men in my orientation class.
It boils down to company culture. If a company is run by reactionary Good Ol Boys like Prime, where the managers are prudes who want neither to hear about nor deal with problems, you end up with problems and a ridiculous, limiting blanket policy.
If a company is run with openness, by people willing to listen and with common sense, it is possible and even beneficial to train women effectively by men.
Both companies asked me to become a trainer. I have refused across the board. Prime's answer was to freeze me out and cut my revenue until I couldn't afford to be there anymore. Swift's answer was to just accept the fact I will not have a student on my truck, although I am perfectly willing to teach various things outside my truck...like chaining, logs and little tricks of the trade.
Women are trained in a timely manner at Swift. There are no lawsuits that I know of regarding discrimination with this regard. I can't remember whether a gender-based lawsuit has been won because of unaddressed harassment.
Prime can take forever to train a woman and, in cases like mine, women are completely shut out of certain sectors. Even after I insist I'm okay with being trained by a man to do the job. ...and guess what? Prime recently was sued (and, I think, lost BIG time) by women who had to wait and wait .....and wait.