There isn't a specific name for a red-eyed rabbit. Rabbits can have various eye colors, including red, but it's not a distinguishing characteristic with a unique name.
Possible reasons for red eyes:
* Albino: White fur and red eyes due to lack of melanin.
* Other genetic mutations: Affecting pigmentation.
* Eye color variation: Can occur naturally in some breeds.
Ask the breeder or owner for more information about a particular rabbit.