It depends on what the room is used for and how many hours a day the person spends in it.
A mattress and bedding (sheets, blanket, pillow).
Towels or bathsheets, washcloth.
A place to store belongings.
A fireplace or other source of heat if the climate requires, with necessary accouterments.
Lighting (candles and holders and matches, gas fixtures, oil lamps, whatever).
A way to assure privacy through a window.
A lock on the door (and window if any).
Actual storage devices such as drawers, shelves, or hooks.
(Getting stuff off the floor is pretty important, though not critical for short-term.)
For cold climates, bedwarmers and wraps for them are very very helpful (think special bricks or iron pieces heated on the stove or fire then wrapped to keep beds clean).
A table and other surfaces.
Is there a bathroom available? All day and night?
If the room has to provide bathroom functions then add:
A sink (if there is plumbing) or a pitcher and at least 2 bowls.
A toilet (unlikely in those times, but "pre-electric" covers a lot of ground) or a chamber pot with a lid.
If there is no other place to bathe, then a tub and buckets or at least something more than 1 pitcher and 2 bowls.
Soap and towels, etc.
Are meals provided? Does the person have to cook all their own meals or just make morning tea?
If food prep is needed then it can vary widely depending on what is allowed/safe and what is needed.
Secure (rat/mouse and insect proof) food storage.
Source of cooking heat.
Pots, pans, utensils, dishware, etc.
A way to wash dishes.
If what's needed is more basic, then just a kettle for the fireplace, heat-proof pads, and tea cups. The kettle can also be used to warm washing water.
What is the person's profession? Hobbies? Basic day to day life?
If it were me, I'd want a desk and chair and paper and something to write with.
I'd also want a nice armchair to sit and read a book in, given appropriate lighting.
Does the person work in the room? Cobbler, mender, scribe...
These things require not just equipment but furniture and space (and lighting!).