Do you have eczema on other parts of your body? If so you should be able to use the same treatment. I don't know why you can't use Neosporin but Cortaid is a cortisone cream which is actually a treatment for eczema so I'm thinking if that made it worse it might not be eczema. My guess would be yeast, you can try a women's yeast cream and see if it helps, it's perfectly safe.