There are a few ways this could go. I could be kidnapped by a wealthy businessman or woman to become their fetish companion, petgirl, or exotic maid, kept with them at their private estate,or taken with them on certain trips.
I could be an interpol agent who had been trailing someone, a wealthy criminal or arms dealer perhaps, get into trouble, and be captured by them to become their bdsm/fetish slavegirl.
If anyone is sci fi inclined, I could even be kidnapped by someone from a parallel universe, as I resemble the prized girl of someone wealthy there.
I could even be in a foreign city on business, help a streetwalker to escape, and be taken from my hotel, made to take her place as his earner.