Put a female Wobuffet in the Day Care with another male Pokemon in the same egg group.
Wait a while. Then the man outside of the Day Care should be holding an egg with a Wynaut inside of it.
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It could be, but it is ultra rare to get a Shiny Wynaut from an Pokemon Egg.
You get a Wynaut which evolves into Wobbuffet.
Wynaut
You can't catch one in the wild. You have to breed a Wobbuffet, whose Egg will hatch into a Wynaut.
Wynaut