Should I be worried?

No, there is no benefit from being worried. You should get smart. In a normal world your mother would have taught you everything about taking care of a baby. Public schools used to teach a few things, but taxation has forced mothers to work so they don't have time for proper parenting, and public schools have told the country to go to h*ll. So you have to learn everything about raising a baby, by yourself, right now.

The first thing you need to learn is don't make mistakes. Using any medication without learning everything about it is a mistake. Neosporin is an antiseptic. This medicine has side effects. Get emergency medical help if you have any of these signs of an allergic reaction: hives; difficult breathing; swelling of your face, lips, tongue, or throat. A rare but serious side effect of neomycin is hearing loss, which has occurred in people using other forms of neomycin. It is unlikely that you would absorb enough of this medicine through your skin to cause this effect. Call your doctor at once if you notice any changes in your hearing. Call your doctor at once if you have severe redness or irritation, swelling, pus, oozing, or other signs of infection. Common side effects may include mild itching or rash or minor skin irritation after using the medicine