In a world twisted by the DNA Wars a young warrior must learn to control her changing mutation while surviving the monsters of her nightmares as she tries to reach the free city.

Why now?

Why did she choose this moment to try to reach the free city? Why not yesterday or last year? What prompted this action at this particular moment?

Yep how does the DNA war feed the story? Is she being pursued? How far is her journey? Why must she make the trip? What are the monsters of her dreams?

I haven't seen stuff like this, so it could be cool. But specifics are your friend. Focus on the very core, don't load in details. Here is an example (not your story).

"A DNA mutated soldier must battle hallucinating and the enemy to escape to a free city after his unit is destroyed'

The logline has the raw material for an interesting story, but I'm not clear as to what is going on, what the action throughline of the story is. ?What's going on, a war between ?opposing armies of ?genetically engineered mutant warriors? ? And is this as much as as scifi story as a fantasy?

In a logline it's better to focus on the central concept, the one Big Idea of the story. What is it in this story? ?What is her singular, overarching objective goal given that she's a mutant warrior? ?And what is specific? inciting incident that triggers her struggle for that objective goal?