Hello
"απωθώ" means "repel", "fight", "force to leave" not necessarily with a physical movement.
Example:
Αυτή η ουσία απωθεί τα έντομα. = This substance repels the insects.
"σπρώχνω" means "push", "shove"
Example:
Έσπρωξε την καρέκλα στην άκρη = He shoved the chair to the side.
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Vasiliki Baskou, Instructor/Director, https://learn-greek-online.com.