Asbestos worry

Hi, I was renting a house a few months ago and we stayed there for a couple of years. When we first moved in an engineer drilled into a wall that I now suspect may have had asbestos in it. We never fully cleared the dust as it was in a corner behind a cabinet and it stayed there for the two years we lived in the house. Does anyone know the risk level of this if there was asbestos in the wall? Any advice would be appreciated. 
many thanks.