Just google it next time before you start theorizing that someone who studied for it is wrong
A red dwarf is the coolest type of main sequence star. That means it is a stable star with hydrogen fusion, that is on the smaller and cooler side of the scale (hence it is the color red and a 'dwarf').
What you are looking for is a red giant and/or a white dwarf. The red giant is the final stage of several type of main sequence stars, a white dwarf is the stage after, where there is no longer fusion, but the star still radiates thermally, eventually dimming to nothingness.