Female student seeking single room

I am 28-year old teacher (female) who will be moving to Cambridge for postgraduate classics study in the autumn. I'm looking for a single room for the duration of my studies, which will be around nine months (until June-July). I can move in from the 28th of September 2026 and have a budget of £400-450 pcm. I have no preference with regards to male or female flatmates of any age or occupation.
I'm relatively quiet, and usually stay in my room - usually writing, studying, reading, or listening to music. I play the violin and I'm learning the drums. (Not in the flat, don't worry!) However, I enjoy good conversation and meeting new people.
My only absolute requirement for the property is a room to house my books and occasionally sleep in. A washing-machine would be a nice bonus.