The phrase often implies a hope that one's circumstances will improve soon. Even though she's down on her luck now, I'm sure her fortune will turn around.
Pro Tip 2/3
Empathy Trigger
It's used to express sympathy towards someone facing tough times, not for minor inconveniences. I heard you're down on your luck recently; how can I help?
Pro Tip 3/3
Not Derogatory
It doesn't blame the person for their misfortune, but acknowledges their difficult situation. She's not irresponsible; she's just been down on her luck with her health.