Thank you for reaching out to us.
Your question has prompted us to review this issue with our rabbinic supervisor, Rav Kenneth Auman.
Many hormonal pills do include lactose, a dairy ingredient. As a matter of stringency, some recommend waiting an hour after a meat meal prior to taking it.
However, the basic halacha is that when a given pill is not chewable and does not have a flavored coating, it is not considered a food. Therefore, one need not be concerned about having it before, during, or after a meat meal.
We hope this helps. Please let us know if we can be of further assistance.