Final answer:
Thrush is the fungal infection that can cause a rash on the breast with pink, shiny nipples and burning and stinging pains during or after breastfeeding.
Step-by-step explanation:
The fungal infection that can cause the breast to have a rash with pink, shiny nipples with burning and stinging pains during or after breastfeeding is called Thrush. Thrush is a type of yeast infection caused by the yeast Candida albicans. It commonly affects the vagina, but it can also occur on the skin, including the breasts.