Although the South Yorkshire club have long known they would be relegated, they have more often than not shown spirit and endeavour at least.
However, that was sadly lacking as they were over-turned by a side only just above them in the table with merely four wins previously this term.
“The performance wasn’t a reflection of how we’ve been since January; it was pretty poor today,” conceded Rouse.
“We came into the game confident of getting the result and the way we have been playing the last few weeks against the top sides gave us the confidence to come here and get the win.
“But I don’t think we really turned up and that’s very disappointing.
“We had good preparation coming into this one and I know the boys are going to be disappointed because they’ll feel they have let themselves down and that will hurt them.
“We now need to pick ourselves up for a big game next Saturday against (Yorkshire) Carnegie because if we turn up for that one the way we did today then we are going to get a hiding.”
Rotherham were limited to first half scores from tighthead prop Andrew Foster and a penalty try, Caolan Ryan adding a conversion.
They also saw wing Jake Henry yellow-carded and were kept pointless in the second half.
Scottish scored seven tries via prop Dino Waldren (2), Ben Mosses, Tjiuee Uanivi, Joe Luca Smith, Charlie Ingall and Matt Williams while fly-half Jake Sharp booted 14 points.