GAW trademarked the name and own the .COM domain they will probably send a Cease and Desist order from there legal team. All You have to do is rename you coin to something else.
Wrong. PayCoin the alt coin is pre-existing and cannot be stopped by someone who comes around after them with the same idea.
Their best and cheapest chance is to buy up all the PayCoins and take it over and then shut it down or merge it with their coin.