https://www.legislature.mi.gov/Publications/rules/house_rules.pdf
I scanned the rules to look for anything applicable to this situation but found nothing specific. Chapter 2 Rule 8 sort of implies that the Speaker has the power to remove a Member (of the House) from a committee, but doesnt say that directly:
If the Speaker makes a permanent or temporary addition or removal from any
committee, the names and appointments or removals shall take effect when the Clerk and Minority leader are notified by letter
Chapter 7 Rule 74, Personal Privilege and Conduct, part (6) says A member shall conduct him/herself to justify the confidence placed in him/her by the people and shall, by personal example and admonition to colleagues, maintain the integrity and responsibility of his or her office. Part (8) adds
Any violation of law or these rules by a Member is subject to the Houses plenary authority to reprimand, censure or expel its Members
Farhat displeased little kingmaker Matty, so Matty exacted his revenge.