23 year old female seeks a double room

I am a female aged 23 looking for a large double room or ensuite (preferably big enough to fit a wardrobe, drawers and also a desk as I will be hybrid working).
I am looking to move around the 15th of November for a new job in Peterborough as I currently live in a house share in London therefore commuting is not really an affordable option. My budget can be anything up to £750 per month (including bills).
I do not drive at the moment so the location will need to be within walking distance from public transport as well as any supermarkets.
I am preferably hoping to buddy up with people who are also looking for places around that time in hopes of renting out a whole property together.
I'm quite a quiet and reserved person who enjoys their own space, but will also open up more once I'm comfortable around people.
My new job requires me to work 1 in every 3 weeks from home so I will need somewhere relatively quiet throughout the day and with excellent wifi connection.