Sudi, considered President William Ruto’s political enforcer, said Malala was suffering an “illusory superiority” in a response on Wednesday.
The rumours have been fueled by the absence of the DP from key state functions.
Ichung’wa is also being accused by Governor Kimani Wamatangi of using his position and closeness to William Ruto to fight other leaders.
MPs also raised queries on the Sh 250M allocation for the purchase of medals, honors, and insignia.