Jamaica has a murder rate in the top 10 of all nations. It's just not trans persons.
Matter of fact it's pretty much all crime. Check out this from a tourist guide.
Stray bullets: Jamaica has many people running around with guns who have no problem using them. The murder rate in Jamaica is currently jockeying for top position with Colombia and South Africa, with Jamaica pulling ahead. In past years, the gunfire primarily occurred in Kingston and Spanish Town, but it's now spreading out. St James (Montego Bay parish) has seen increasing levels of violent crime (murder), as well as all other parishes. At this time, the chance that you will catch a stray bullet (meant for someone else) while standing on a main street in many of the tourist centres of Jamaica is not zero. Fortunately, there are fewer gunmen in the bush than in urban areas, so the further you get from town in Jamaica, the better.
Homophobia: If you are gay, don't even consider stepping foot on the island. Not only is it illegal to be homosexual in Jamaica, some Jamaicans believe that gays should be killed. The primary musical genre, Dancehall, is replete with songs that encourage this. This belief is often acted upon, such as with the recent murder of Steve Harvey.
Rape: There are many single female visitors who come to Jamaica for sex, using the hired services of the many rent-a-dreads who congregate around the resort areas. Unfortunately, because of this, most single white women who come to the island are now regarded as being there only for that reason, and will be harassed accordingly. In Jamaica, "No means no" is not recognized amongst some segments of the male population and harassment can lead to worse things. If you are a single female, be very careful about whom you let become your friend, no matter how good the patter. [For those women who are hiring the male prostitutes, it must be noted that the island has a very high incidence of HIV, and as you already know, condoms are not popular in Jamaica.]
Murder: As noted above, Jamaica is one of the most murderous countries on the planet. Tourists are not generally exposed to this risk (much of it is tribal politics in Kingston), but it cannot be disregarded. To be clear on this: Your chance of being intentionally murdered while being a tourist in Jamaica is relatively low, but not as low as visiting Cuba, or Costa Rica, or a hundred other countries. If personal safety is the main concern with regard to your vacation, go somewhere else.