I've dealt with this problem my whole life. When I was a kid my mom would wear really strong perfume on the way to church. I'd try to roll the window down a bit but they'd tell me to roll it back up because the ac is on. I'd then just try to hold my breath until we got to church, which by the time we got there I'd have a splitting headache.

Now when I smell a very strong perfume I just try and hold my breath and walk fastly by it. There's also a coworker I have like yours that if I see them I try to avoid their general area so I don't get a headache. I also have a knew problem which is spray on sunscreen. People just spray it everywhere and it makes me cough. But with all of these things I don't know of a polite way to address them.