Yup. You will become more sensitive after avoiding it for a while. I'm coeliac and my reaction to gluten gets worse the longer I stay GF. Since going primal, my reaction to an accidental glutening is even worse, thankfully its only happened once.
Even if you tolerate wheat fine, it's still empty calories that spike your blood sugar and are abrasive on your digestive system.
If you are an adult, and you want to cut wheat out, then go for it, but be aware that your reactions may get more severe the longer you avoid the stuff. Which is probably telling you it's poison really.