1. To shove, thrust, or otherwise move someone or something to one side or out of someone's or something's way. In this usage, a noun or pronoun can be used between "push" and "aside." I would have been hit by that truck if you hadn't pushed me aside at the last moment. We'll need to push aside these chairs and tables to make room for the performance. Some jerk pushed Sarah aside and went onto the bus ahead of her.

2. To delay, ignore, or temporarily suspend the activity of something in order to use the time or resources for something else. In this usage, a noun or pronoun can be used between "push" and "aside." We've had to push this project aside too many times already—we should either commit to it now, or just cancel it outright. This new deal will require all our attention—all our other work will have to be pushed aside for the time being.

3. To ignore, disregard, or exclude someone. In this usage, a noun or pronoun can be used between "push" and "aside." I just feel like Tom has been pushing me aside lately to spend more time with his friends. Andrew says he's being pushed aside by his boss in work.