Prostitute to cat burglar is no way a logical shift.
Yeah, well. :) Still, all the other stuff.
And it's not like we're going to be able to lose the big cat taming, anyway.
Here, I'll try again.
And then there's the skillset itself. Selina's, so impressive and masterful that it can only have been a lifelong effort, is that of the thief: stealth, lock- and pocket-picking, acrobatics and specialized tool use (crampons, glass-cutters, d-cel). Things that one learns for the express purpose of theft, develops through a repeated reliance on theft, or turns to theft as a result of possessing. None of which makes any sense from prostitute!