What chance it had 'in the wild' is up for debate. Here in Evansville we have a 100 acre nature preserve called 'Wesselman Woods'. Deer wander in along railroad tracks that enter the reserve and end up staying. Over the years, that little 100 acres had a LOT of deer. The confined space led to inbreeding, and we at one time had 3, yes *3* adult albino white-tailed deer simultaneously.
Naturalists decided that this highly inbred population was unhealthy, and a few years ago a controlled hunt was called to cull the herd down, with the albino deer being specifically marked for slaughter. Now there may be 3-5 deer in there, all normal-colored. Hard to say, I never see any in my walks, but there are signs some are around.
Because the preserve had no predators, that 'wild' was perfectly safe for the albino ones, until human predators were brought in specifically.