She is always there, but not always taken advantage of. Sometimes she is noticed- on your shoulder, or in a pocket. Other times people are unaware, and she rests idle on a curb or floating along the breeze. Luck is closely tied to perception; and so she always is waiting patiently for someone to snatch her up and enjoy the opportunities.
When you have her: fate smiles on you. Those with her in their possession simply find that things go their way. Whether it's getting that random call for an interview, discovering ten bucks on the ground, or running into that cute girl. Or maybe stumbling across a squirming micro tangled up in a spiderweb.
Whatever it is, luck favors those whom hold her.
Lint isn't so fortunate. Perhaps in some twist of karmic balance, or maybe just because fate found it amusing, Lint was one of the most unlucky creatures in the park.
Whether it was getting caught in the rain. Flying straight smack into a well concealed spider web, forgetting where she left her bag, or getting stepped on by someone who didn't notice her... Lint is not very fortunate.
But she has learned to tolerate the random, unfortunate events that plague her. Even death doesn't perturb her much- she will wake up again shortly after. Somewhere else; and probably in someone's pocket.