“An awkward 16-year old, who discovers that she has developed super-strength, must harness and control her new power while evading a covert agency eager to exploit her.”

Good, but not yet great, IMO. I think you can cut down on the amount of words for saying “who discovers that she has developed super strength” by simply saying “with super strength powers” or “with the power of super strength” (actually the phrase “super-strength” can be jazzed up more to make it less cliche). By reducing the number of words for a phrase, and getting the same idea across, you are freeing up that “Prime Real Estate” in logline territory that I’m always harping about.

Another suggestion: “eager to exploit her”. This sounds like it could be the hook of the story. I doubt it just the standard “person-with-super-powers-running-from-the-government-wanting-to-study-and-use-their-powers-for-global-domination-purposes”, otherwise you’re talking about just about every “super hero” back story ever written. My guess is that you HAVE a very specific exploitation story, one that separates it from the others. If so, I would definitely highlight it in the logline. Remember- one shot to impress, one shot to get them to turn to page one.

Just my thoughts…