I'm 16 - and I've been watching the show for about a year. I am by far one of the most emotionally sensitive and attached tv viewers I've ever heard of, but this show means the absolute world to me. I can only watch about two or three tops a day before I need to kind of take a step back and watch something else, but that's absolutely fine with me! I would suggest doing a bit of research if you're sensitive about the season finales and season premiere's before you watch one, just to make sure you're prepared, but besides that I'd honestly really really highly suggest this series. Mariska Hargitay as the lead detective is one of the best role models for young people ever, showing that no matter what has happened in your life, you can do anything you put your mind to, and how to be a strong and loving person. The show itself is gorgeous, with by far the best writing for any show I have ever seen, and acting, it's just so enthralling. I've showed it to my brother and one of my friends, and both of them have gotten completely hooked.
For teens, sadly, people don't really discuss these issues at all, especially in schools, so it's actually very educational and helpful because unfortunately these are very real issues going on in the world.
It's really not gory hardly at all, more emotional. In earlier seasons, in the intro, they may show someone's reaction to finding a dead body, or part of a dead body, but in more recent seasons they don't even do that. They hardly show violence as well, really less than you would think. Occasionally the cops have to chase someone and then tackle them, but besides that all they show is sometimes, in the intro, someone walking around before they get attacked or assaulted, and then the team comes back in after. Not much swearing, sometimes they use anatomy words but I would hope everyone is comfortable with that, haha. This show will really teach you empathy too, and make you never be a bystander again. It'll make you want to help people, and I think that's pretty amazing. HIGHLY HIGHLY RECOMMEND FOR TEENS!