I'm not sure about reactions to perfume oils, but urushiol, the oil that makes poison ivy bothersome, can take a few days to cause a reaction. I think urushiol's also one that the more you are exposed to it, the worse your reactions can be. It stands to reason that you might have delayed reactions to perfume oils, and they may get worse after later applications.
In anticipation of my first BPAL order (!), I've been revisiting scents I got ages ago in my initial foray into perfume. I tried a spritz of one per day on my left arm. Skin is fine, but 4 of the 5 bothered my sinuses. I realized that I seem to be sensitive to juniper, cedar, and maybe guaiac? 3 of those I reacted to have cedar listed, and 1of those, the one I reacted to the most, has both cedar and juniper. In the case of cedar this is particularly sad as it's a scent I really like, which is why it's in several perfumes I own already. Cedar isn't listed in any of the ones I ordered from BPAL, but I'm hoping I don't react to them! Had to refigure my wishlist after doing my testing, though.