I found additional data on the CDC website which contains the full dataset for Inactivity, obesity and other features. There was also data about the number of physicians per 100,000 residents of each county. Additionally, there is also information about the percentage of residents of each county that do not have Health Insurance. I found the correlation between the obesity rate and the number of physicians per 100,000 residents of each county. The correlation was -0.035 (-3.5%), slight negative correlation.
There is also a slight negative correlation between obesity rate and total number of physicians per county. This result is counterintuitive although the correlation is insufficient.