Some pointers @welliments. Note that I refer to men "tranisitioning" to become transwomen. Women can transition to become transmen, but most of the problems that women are concerned with relate to men.
Sex and gender are different. It's good to get the difference clear in your head.
Not all trans people are the same. There are groups with very different motivations.
The reason why trans has suddenly become a subject of active disagreement is because of proposals to enable someone to switch to the opposite gender (although it would have the same effect as "switching sex" (which is not possible)) just by signing a piece of paper to say "I am a woman". This is referred to as self-ID.
Self-ID means that people who just declare "I am a woman" can legally be recognised as women even if they don't change their appearance, take any drugs to feminise their appearance, or have any sexual reassignment surgery.
The means that if the law were to be changed, fully "intact" and "functioning" men could obtain access into spaces where women are vulnerable, women's refuges, places were women are having intimate examinations, changing rooms, prisons, toilets, etc.
There is a push from some in the trans community to allow children to take these take these drugs to feminise their appearance that will result in them being sterile, have non-functioning gentalia, and no awareness of sexual desire, ever. These children will also need to be on drugs for their whole lives unless they decide to "return" to their own sex but it won't be possible to undo much of the damage. Needless to say, this is a great point of concern to both to male and female children.