Is it permissible for my sister to feed children in the nursery meat not slaughtered according to Islamic law or pork, what is the ruling on her income if she does so, and would I commit a sin if I wake her up to go to her work?

Pork is absolutely forbidden (haram qat'iyyan), and it is not permissible for a Muslim to eat it, prepare it, or feed it to others. The sister is obligated to seek another job or apologize for serving forbidden foods. The entire salary is not rendered unlawful; rather, only the portion corresponding to the forbidden work is unlawful, while earnings from permissible tasks, such as childcare, are permissible. Foods that are doubted are not forbidden merely due to suspicion, as the food of the People of the Book is permissible unless it is known to have been slaughtered unlawfully. It is not permissible for a Muslim to assist in sin, but setting an alarm and waking the sister for work is not considered assisting in sin if the majority of her work is permissible. She should, however, be advised to abandon or avoid the forbidden work.