It was definitely a reddish colour though, more than it appears in Beefy's picture (no criticism, Beefy, it's still a great shot).
Pink Moon has nothing to do with colour or in this case color.
"April’s full Moon often corresponded with the early springtime blooms of a certain wildflower native to eastern North America:
Phlox subulata—commonly called creeping phlox or moss phlox—which also went by the name “moss pink.” "