As a verb encourage
As an adjective pushy is
aggressively ambitious; overly assertive, bold or determined.
To mentally support; to motivate, give courage, hope or spirit.
To spur on, strongly recommend.
- I encouraged him during his race.
To foster, give help or patronage
- We encourage the use of bicycles in the town centre.
- ''The royal family has always encouraged the arts in word and deed
Aggressively ambitious; overly assertive, bold or determined.
- Parents are ruining school sports days by being pushy and overbearing, a survey suggests. BBC