wanting very much (to learn, know)

desiring knowledge, understanding

not showing proper respect; rude

bold, disrespectful

liking, showing a fondness for, having, (too much) interest on other's affairs

curious

(also nosey) too interested in other people's private affairs

curious; prying

very (often too) noticeable or obvious

pushy, obvious

too eager or ready to use one's authority

self-important, dictatorial