(often + from) to call forth or draw out (e.g. a response or reaction), esp when the thing involved is latent, or given or shown reluctantly
to draw forth or bring out (something latent or potential)
elicitation /-ʹtaysh(ə)n/ noun
elicitor noun
[Latin elicitus, past part. of elicere, from ex-1 + lacere to allure]