The crescent moon watch (or moon sighting) events usually take place on the day (24 hrs) after the New Moon Conjunction. The HMNAO Websurf data table below shows the Predicted Crescent Visibility for York in 2021. Considering the cloudy weather and the low altitude of the moon in the UK, only Visibility Code A or B are likely to be seen by the naked eye. Note also the direction of the moon (Azimuth) changes every month, swinging from South-West (Winter) to North-West (Summer)!
See HMNAO Websurf (Moon-Viz) for more details. http://astro.ukho.gov.uk/websurf/