YASSMIN Abdel-Magied continues to feel the fallout from her Anzac Day post as pressure mounts for her to be sacked from another taxpayer-funded role.

Foreign Minister Julie Bishop told The Australian that she is carefully considering a request from Liberal senator Eric Abetz to remove Abdel-Magied from the Council for Australian-Arab Relations.

The council aims to foster connections between Australia and the Arab world and is run by the Department of Foreign Affairs and Trade.

As a member of the council, Abdel-Magied receives a daily fee for council business, which was $429 as of July 1, 2013.

She is also able to receive a travel allowance and be reimbursed for travel expenses.

In a letter, Mr Abetz argued Abdel-Magied was "unfit and lacked the judgment" for the role.

Ms Bishop appointed Abdel-Magied to the council in November 2015, the same year the young Muslim leader was named Queensland Young Australian of the Year.

Ms Bishop has said she will respond to Mr Abetz's letter "in due course".

Abdel-Magied has been under fire since she posted on Facebook "LEST. WE. FORGET. (Manus, Nauru, Syria, Palestine ..." on Anzac Day.

Even though she quickly removed the post and issued a brief apology, there have been continuing calls for her to be sacked from her role hosting Saturday morning program Australia Wide. The ABC is standing by her, and has released a statement saying Abdel-Magied's opinions outside her work at the broadcaster were her own and did not represent the organisation.

Abdel-Magied also caused controversy earlier this year when she got into a heated debate with Senator Jacqui Lambie and defended Islam as "the most feminist religion" during an appearance on Q&A.