What could this be? Could this be thrush?

I have started having sharp shooting pains in my left breast which I can best describe as being small and located deep behind my nipple and top of breast. I notice it the most while I am nursing. The pain is not severe (maybe a 3 out of 10) but I was starting to wonder if maybe I had the start of a clogged duct.

I started googling it, and of course the internet gave me all of the worst case scenarios. One of the less severe things Google suggested was thrush. However, I do not have any other symptoms such as nipple or areola pain.

My 4 week old baby does have white on the back of his tongue but it has been like that for as long as I can remember. Both a lactation consultant and my pediatrician have looked in his mouth in the last week (looking at other things) and neither one of them mentioned any concern about the white.

What are your guys' thoughts? If it is thrush who do a contact (the pediatrician, my OBGYN, someone different?)?

Here is the best picture I could get

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