Although I do believe worrying over a curse can make it stronger, I do not believe thatnot believing means you cannot be effected. That is like saying not believing in negativity means it will not effect you.
One of the best things you can do is cleanse. Take a bath with sea salts or even a shower, rubbing yourself from head to toe with the salt, visualizing all unwanted energy washing down your body and through the drain, like a nasty sludge or dark water. Visuslize the clean water flowing out of the faucet into your body removing impurities and healing any damage.
If you know the person that cursed you, you could attempt to send the negative energy back to them. This could be done visuslizing a mirror in front of you, and it bouncing off the mirror at them.
You could direct the energy from said curse into a stone such as hematite or obsidian. Both are good at absorbing negatitivty. Afterwards, bury it in the ground for the earth to absorb and transmute.
By any chance do you know what was done to curse you? Knowing such thing would be benificial to the curse removal. There are many things you can do, but I personally feel that doing a reversal of the actual spell that was done works best.