Flu shot and evidenced based practice.

Indiana University Health Goshen Hospital fired a nurse with 22 years of experience because she refused a flu shot. In nursing school, I was taught that nurses use evidenced based practice. I was wondering if there are any studies that demonstrate "Patients with vaccinated nurses have statistically significant less incidents of flu than patients with unvaccinated nurses." Considering that patients do not live a bubble where their only contact with the outside world is their nurse, I doubt that this could be proven. Therefore, aren't hospitals bullying healthcare professionals? Shouldn't the nursing associations also advocate for nurses' autonomy when deciding what to do with their bodies? Making the claim that unvaccinated nurses endanger patients is unfounded and unscientific. Besides nurses, along with the general population, carry all kinds of viruses and bacteria that could potentially harm a patient. I would love to hear other nurses' opinions. Also, if anyone could provide a valid study that would be nice to see.