The rut really runs from mid Sept on into Feb. What we often refer to "The Rut" is actually the "peak" of the rut.
A major portion of the does (30-40%) breed in that two-three week window, but the rest breed sometime else. Approximately equal numbers before and after, and fawns will be born accordingly.. Survival rate on fawns from breedings outside of the "Peak" are pretty weather dependant.
It is very possible to see does with fawns already as it is to see small fawns with spots in Oct and even Nov. Seeing early fawns is not a sign of a change or trend, just something to be understood and enjoyed.
If memory and my math serves me close to right, gestation is 210 days which means the peak of fawning should be mid May.