The orders were given yesterday in the Assembly after Leader of Opposition Indira Hridayesh raised the issue.
Rakesh, the MLA from Bhagwanpur, earlier said in the House that she received a letter from an unknown person who threatened to kill her and her family before April 28.
Hridayesh demanded that a Y-category security cover be accorded to Rakesh and said the threat letter has been submitted to state Parliamentary Affairs Minister Prakash Pant.