When a seventeen-year-old girl’s intentions of committing suicide are foiled by a forceful change of plans, she finds herself in the reluctant care of the middle-aged man who had helped to saved her. However, she also quickly finds herself involved with the organization he is a member of—a secret society broken into ability wielding fractions referred to as Troupes—when one of the members tries to actively target her.
She knew why she wanted to kill herself, but what she couldn’t understand is what she had that was worth being killed for.
Okay, so you're most concerned about that second sentence which could definitely be broken down from:
"However, she also quickly finds herself involved with the organization he is a member of—a secret society broken into ability wielding fractions referred to as Troupes—when one of the members tries to actively target her."
to instead doing an immediate connection between the first and second sentence via Trenton,
"Suri failed to die the first time around, and now this [strange] guy Trenton has to take care of her. Now, a member in a secret society organization called Troupes is out to get her -- the same one Trenton's in!
She already wanted to die, so what do these people have against her?"
Again, like you said, it's super stripped and leaves room for expansion, but since it's a multiple PoV, try to do the continuation via him in the blurb and then round it back up in the third sentence through Suri. That way you have a bit of a balance and Trenton isn't just some random blip on the radar.