The diffusion of COVID-19 and related containment measures practically halted tourism flows, which in many countries generate a significant share of GDP. By leveraging Airbnb data covering the main touristic destinations in Europe, we investigate the impact of the pandemic on the market for short-term rentals up to early 2021. We find that the epidemic reduced dramatically both the supply of apartments available for rents and customers' demand, with travellers cancelling many reservations and reducing new bookings even many months in advance. Accommodations relying relatively more on foreign tourism were the hardest hit and reacted by cutting prices. By exploiting the different timing of the epidemic spread across Europe and the timelines and intensity of the measures adopted to contain it, we show that government mandated restrictions had a stronger impact than the spread of the infection itself. All in all, our results point to a persistent and heterogeneous impact of COVID-19 on the accommodation industry.