Giving Zakaat on the Pretext of Wages

There is a destitute Muslim woman who is deserving of Zakaat, but feels embarrassed and does not accept it. An Aapa wishes to give her Zakaat. I shall be running a home-school next year, Insha-Allah. The Aapa suggested that I take assistance from this destitute lady in the form of student supervision, and she will give her the Zakaat and tell her that it is wages. Whereas, the Aapa and I both know that it is not wages as it is not an employment as such, and as she is very sickly, she will only come when she is well. I would like to know if the Aapa's suggestion is permissible.