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There aren't any whitetail in Western Washington. OK...OK... I am sure someone will say they saw one at one point, but in general Western Washington is only populated by blacktail deer.
The simple answer to the OP's question is that "it depends". The general deer seasons are explicit in what type of deer may be taken, and there are not westside GMUs that allow whitetail deer to be harvested. However, many special permits allow "any deer", "3 pt or better", "any buck", or "anterless deer" without limitations on specie. In these instances, a whitetail could be legally hunted and killed.
So is there a big difference hunting black tail compared to white tail? I mean ill I've ever studied is white tails and now I'm completely lost. anything helps thanks.
I know I will get bashed for this because I cannot produce a picture, but three years ago while doing a tour of the Kangaroo farm in Arlington there was a Whitetail doe hanging around. I asked the owners of the Kangaroo farm if they had brought it in and they said no it just showed up one day and is free roaming around the area.I now the difference between the three Deer I can shoot (have shot all three) and know for a fact it was a Whitetail. With that I would believe that since it is not specified in the game regulations it would not be legal to shoot.