Is the cause of your anemia simple iron deficiency? Are you doing anything to correct the deficiency?
Moderate to severe anemia results in reduced oxygen capacity of the blood. Oxygen is required in the production of ATP, the molecule that all body systems use to get work done. Repairing injury requires energy. So if the body has limited energy production, the systems working to repair the injury will have less energy to get the work done.
I have never found any research on this specific topic, but logically, it would make sense that any injury would take longer to heal if a person was in an anemic state.