Omar was removed from the Foreign Affairs Committee after controversial tweets in 2019 and now a resolution to censure her has been brought by Rep. Marjorie Taylor Greene over her recent comments apparently indicating she is in the US government working on behalf of Somalia. The translation of these comments has been disputed.

https://www.forbes.com/sites/brianbushard/2024/02/01/ilhan-omar-sparks-outrage-and-censure-resolution-from-gop-over-controversial-pro-somalia-comments-heres-what-she-said/?sh=73ca2a9474b3

There have also been concerns about her breaking campaign finance laws in the past.

Will Omar receive any punishment for any reason (including censure, being removed from committees, impeachment, etc.) before the end of day Dec 31, 2024?

The punishment must actually be passed by the relevant authority. Impeachment without conviction would resolve as yes.