Installed Fantastic Vent fan

If displacement "air flow" into the bathroom room is an issue (when power fan is on highest setting), simply remove bathroom door, remove 1" off its bottom and re-install the bathroom door. If trimming its bottom door edge isn't your thing, simply install vent covering (front and back) on the lower section of the bathroom door instead. Thus, allowing privacy and the ability for air flow replacement.

If wondering, my TTs have power fans in their bathroom room. If missing, great idea to install one. Especially on rainy days - when folks cannot retreat to clean air out doors. LOL!