I think this story is blown way out of proportion. There are so many worse risks with the pill, that the added risk of getting a brain tumor is way too small to worry about. The risk of developing blood clots with birth control pills is 1 in 1,000. The risk of developing a brain tumor is 2 in 500,000 over your lifetime. The methodology is also horrible. They compared 317 people who had brain tumors with eight age-matched women who didn't have gliomas. Then they extrapolate to the risk of how many will get a brain tumor out of 500,000 people. Doesn't sound like they correct for socio-economic factors. Perhaps poor woman use the pill less and are more likely to die of other thing associated with being poor.
Bottom line.. You need to keep risks of death in perspective. The risk of dying in a car crash are about 1 in 7,000, and we do not let that stop us from riding in cars.