In urgent need of a room

I am a master  exchange student in Economics at University of Zurich. I arrived in Zurich on 11th September, 2019 and am staying in Youth Hostel Zurich. My study period in Zurich is from September, 2019 until 31st January, 2020. For this duration, I am in need of a room.

I have been searching for a room for past three months now, however I have not found yet. I also applied at the student housing of ETH Zurich, but I have not received any response.

For my master program, I will receive a scholarship of 850 CHF for covering my expenses. Given this limited scholarship, I could afford to pay a rent of 500 CHF, above which I would be unable to pay for food, transport and insurance.

I am allowed to stay in the Youth Hostel only until 16th of September, 2019 after which I have no place to go. I have been selected into one of the best universities of Europe and I would regret if I have to go back without pursuing my studies, if I do not find an accommodation.

I predominantly belong to India. I completed my bachelors in Music and Economics from India as well. Having finished my under-graduation, I applied for a master course at University of Mannheim. I belong to a middle class family with retired parents. I could not afford to study and live in an European country without a sponsorship. So I applied for a merit scholarship and got selected. 

I belong to a family with musical background. My mother is a TV and radio artist, while my father is a retired marketing manager who worked at a fertilizer's company. I love playing instruments such as Harmonica and Ukulele. I am also a singer and have participated in several concerts while in India. I am particular about cleanliness and try to keep my surroundings tidy. 

I would be eagerly looking forward to your responses.