What would happen to the core of the sun if the temperature rose slightly?

Much denser and is hotter

Explanation:

As the energy would then isolate for the sun and continue to increase and get hotter a thereby the wavelength of the light would decrease and create and can lead to a serious change in the climate of the earth. Most possibly it will leave the habitability zone. And would appear to more yellow and blue, giving a 12% increase in the solar outputs and thus the fusion reaction would increase and releasing more energy.