When a struggling repo agent gets arrested, she is rescued and recruited by a mysterious business woman that specializes in acquiring and selling exotic, hard to find, mythical items to the highest bidder.

Never start a logline with “When something happens, this person does this.” Tell us about the protagonist. People care about people, not about the thing that happens to them.

And be specific. There are a lot of vague notions and descriptions here; we need to know the basics of the story: protagonist, antagonist, conflict, stakes. You want people to read a logline and be interested in reading the whole story, not forced to ask questions just to understand what the story is about. So don’t tell us she gets arrested but not why, because we’ll just ask why. The single adjective “struggling” tells us all we need to know about her at this point.

Also this whole thing makes your hero sound passive, in that events are occurring to her instead of her taking action in some way. Plus businesswoman is one word and don’t use “that” when referring to a person; use “who”.

I think in this case simpler may be better: A struggling repo agent is recruited by a mysterious businesswoman to collect mystical artifacts. That implies some danger and conflict, but it might be better to provide more detail with specifics about a particular goal or object, or about any direct antagonist there may be: A struggling repo agent is hired by a mysterious businesswoman to reclaim a gemstone with mystical powers from the clutches of an evil cult. Or whatever the story actually is.

That example is actually a bit sloppy, but you get the idea: hit us with the basics, make it compelling, make us want to know and read more.