No. K spectral type stars (which are orange) temperature is ranging from 5,000-3,500. A spectral type stars (which are blue-white) temperature is ranging from 7,500-11,000.
Spectral Type O.
Spectral type M Stars
G2v
M2
temperature!
G2v
The spectral type of a star is what measures its chemical composition. The visible light that bounces off of it can be used to determine the composition.
The spectral type of a star (OBAFGKM) are based on spectral emissions and have no real relationship with size.
G2v / k1v
Spectral line
Eltanin is an orange giant of spectral type K5