Are you in the US? Do you report that revenue as personal income on your taxes? If yes, then I think it’s fair to call it profit (since you’re also presumably deducting expenses).
It would be profit if I was organized as an LLC that agreed to pay me $X/year and took in $(X+Y) in revenue.
I'd rather profit. :p
A corporation holds the profits (after expenses) on its books and they may (or may not) be distributed proportionally to shareholders. If it's not distributed, it is part of the value of the company.