Colour is fun but I don't feel yellow brown will be an inviting foil to the cream. Wood in that tone would be fine. How do you want to feel in your room? Fresh light airy? The. Go white. Cool edgy look - then add colour but be brave. Tomato red or Sea Blue or Coral.

If the door is well painted I doubt if you will have a problem. A good coat of paint on wood work and wall surfaces is important if you have a lot of moisture in the room. If you can do some alterations to the space I would suggest you install an exhaust fan in the ceiling that vents moisture to the exterior, i.e. through the roof or side wall. Companies like Nu-tone and Broan make fans that have a moisture sensor that will kick on the fan while using the shower if you forget to turn it on. And these fans can be much more quiet than the typical bathroom fan. Some hundreds of dollars for the purchase and installation of this would be well worth it. I have seen bathroom ceilings covered with mold because the room has neither a neither a fan or window so you are right to be concerned.

Does it complement the paint colour or does it look awful? If you don't like it then paint the room or return the sofa for a new colour.

Pictures attached for 3 bathrooms, first 2 are from same bath