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By Jennifer McKiernan
BBC political reporter
The SNP's Westminster leader has accused the Speaker of "effectively lying" over the possibility of an emergency Gaza debate.
Last week an SNP debate on Gaza descended into chaos after a decision over voting by Sir Lindsay Hoyle.
He apologised and offered the possibility of a second debate this week - before rejecting that bid.
The Speaker's Office explained the decision was due to a ministerial statement on the same issue.
Mr Flynn told BBC Radio Scotland: "Unfortunately, the Speaker of the House of Commons (has) broken the rules and now broke his word and effectively lied, not just to SNP MPs but the entire parliamentary chamber and indeed the public last Thursday.
"I don't think anyone can be in any position where they don't find that deeply, deeply challenging, given the Speaker of the House of Commons is there to effectively ensure that democracy runs smoothly on these isles."
The furore started last week, when the Speaker decided to allow a Labour amendment to an SNP motion on Gaza to go to a vote, effectively denying the SNP the chance to vote on their own motion.
Sir Lindsay apologised the same day, insisting his priority was the safety of MPs, which he believes to be under threat over this issue.
But anger in the ranks of SNP and Conservative MPs saw them band together to sign an Early Day Motion of no confidence in the Speaker. It now stands at 81 signatures.
Under mounting pressure to quit, Sir Lindsay offered the SNP the option of an emergency debate, known as an SO24, alongside another apology.
However, he later rejected the SNP's bid for that emergency debate, now saying a statement from the government on Tuesday would be sufficient.
The Israel-Gaza update will be made to MPs by Foreign Office Minister Andrew Mitchell.
The Speaker's Office has been contacted for comment.