"Quick judgement" refers to making a decision or forming an opinion about something or someone without taking enough time to gather all the necessary information or consider all the relevant factors. Full definition
Don't troll these boards looking for a place to cast quick judgement on people you don't know or have any information on. (religion.blogs.cnn.com)
Children can also be unpredictable and have a slower ability to react in a situation that calls for quick judgement. (jacksonwhitelaw.com)
The experiments employ a rapid adaptation paradigm that has emerged recently in the perceptual sciences whereby subjects are asked to make quick judgements about a rapid sequence of randomly varying stimuli. (nature.com)