[Nancy's Hamsters]

Hi Jess, and welcome to HC.
First does Betsie have a pedigree to look at? Dove is just two genes for Black and two genes for Cinnamon so a mate of either color will produce that same color. If you were to breed her to a Dove all pups will be Dove. If a Black who doesn't carry for Cinnamon all will be black and all will carry for Cinnamon. Unless you like Goldens you would not want to use a mate who is neither Black nor Cinnamon but this would not cause any health issues. You say Red eyed Dove there is no other eye color then red with Doves. If Betsie has a pattern(band, or Dominant Spot) then her mate should be non patterned or what is called Solid to prevent possible eyeless pups should Betsie be hiding the White Belly gene(It can happen I had a solid Dove birth 4 eyeless pups)

So the first thing to check is if Betsie has a pedigree, and if not don't breed her at all.