It is impossible to say when you may be allocated accommodation through North Yorkshire Home Choice as it can depend on a number of factors including the availability of properties in the area(s) to which you wish to move; the number of other people who are registered and the level of priority you have i.e. your assessed banding.

You should note that NYHC cannot guarantee any applicant a move. You can improve your chances by being flexible on the type of property you will consider and where you are prepared to live.

Direct Lets 

In general applicants will bid for properties but in exceptional circumstances a property will not be advertised but will be offered directly to an applicant in line with North Yorkshire Home Choice Common Allocation Policy

North Yorkshire Home Choice Register and Allocation Information 

NYHC regularly publish information so you can see how many applications there are on the housing register. The information is broken down by local authority area and assessed housing band.

Information provided also shows the number of properties allocated in a specified period, the local authority area that the property was situated, the property type and number of bedrooms.

https://www.northyorkshirehomechoice.org.uk/content/Information/NYHCPerformanceInformation