Receiving LCWRA, can i work part time?

Hi guys, i currently receive LCWRA and also PIP. My therapist is wanting me to try applying for part time work as she feels it would help me but i am afraid they will take away my LCWRA if i start working.  It was a long process to get it, i had to appeal and was finally awarded it by a judge who put me in the "substantial risk" descriptor. If i apply for part time work, which would have to be remote work because of my health, would they take away my LCWRA, i would be applying for part time roles of about £500 a month, about 10-15 hours a week.