Ejection fraction of 35 percent indicates that your mom is having moderate LV dysfunction. Gall bladder stone surgery can proceed following explanation of relevant risks to the patient and family. Definitely despite all risk factors involved, benefits of cholecystectomy in this case will outweigh the risks as you said. An informed decision needs to be taken on your end, to go for the surgery. Wish her a speedy recovery.

Your mother needs Gall bladder surgery due to stones and infections to prevent further complications. Your mother cardiac status and medications needs to be optimised by your Cardiologist. Blood thinners to be stopped at least 5 days before the surgery and can go ahead with surgery with cardiac risk. It requires multidisciplinary team coordination between your doctors.