Barry Fenchak was declared ineligible for election by the board's nominated subcommittee.
The Nittany Lions stay as No. 8 despite defeating John Hopkins last week.
Reidler's commitment comes minutes after Arsenii Sergeev's departure.
Sergeev impressed during his lone season with the Nittany Lions, helping lead them to the program's first Frozen Four.
Nelson was removed from the roster on Friday.
"Lightning" Luke Lilledal picked up his fourth career Pan American gold medal.