The winger was charged with a Grade C high tackle on Max Jowitt, a challenge that saw him yellow carded and the Trinity full-back unable to carry on in Friday’s 20-14 loss.
Faraimo misses Hull’s Super League game at Wigan Warriors on Thursday as well as the Challenge Cup quarter-final with the same opponents.
But Chester – who has signed Huddersfield Giants full-back Olly Ashall-Bott on an initial two-week loan – was dismayed by the match review panel’s verdict.
He said: “It’s just disappointing from our perspective.
“When you listen to the referee and the fourth official’s commentary, they say direct contact to the head.
“I always thought that was a straight red card. I’m just waiting for some clarity on it.
“Once again we lose a player to foul play and it’s somebody else who will get to benefit next week.
“We gained just ten minutes benefit. I just don’t know what to make of it. There’s been some directive about contact to the head and they have said it will be dealt with severely, especially with all the concussion issues.
“You saw Leeds Rhinos’ Zane Tetevano contact to the head the other week, where he got a red card and four matches.
“There were similarities with that and the tackle on Max. Yet that’s yellow and two games...?”
Jowitt is expected to be fit for Friday’s visit of Catalans Dragons but Trinity are seeking a further medical report tomorrow on stand-off Ryan Hampshire who suffered a cracked jaw at Hull.
Meanwhile, full-back/winger Ashall-Bott has joined the club from their West Yorkshire rivals given injuries to the likes of Hampshire and England winger Tom Johnstone.
The ex-Widnes Vikings and London Broncos player, 23, joined Huddersfield in January but has yet to feature for them this term.
Chester said: “My first impression is a good one.
“He’s trained today and trained really well. He has some leg speed and a really good passing game out of the back.
“He’s a kid who just wants to play as he’s not had an opportunity yet at Huddersfield and we can give him that opportunity here.”
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