I myself am still a teenager (just barely), and while I don't claim to be an authority on why people in my age range can have poor attitudes, I have a few ideas.
For starters she probably isn't consciously concerned about safety. I know that personally I'm much more acutely aware of possible dangers when I am with someone I perceive as being "vulnerable" around me, be it a girlfriend, a child, or anyone I wouldn't trust to be dependable when the SHTF. You're looking out not only for yourself but your family, which might not completely register.
As a parent, what comes across as "paranoid" to your child seems like common sense, and for the most part it is. Expecting a 16 year old to spend 5 seconds rearming an alarm is far from being overly demanding. It doesn't sound like you're having a pillbox put in and installing retina scanners on the front door.
Teenagers are also notoriously self-centered, our brain chemistry literally wires us that way and we're still developing into people. Safety might not be high on her priority list. My best advice is that keep drilling it into her and it'll become second nature.