You can earn respect and an award too, not just money. To profit and profit as a noun are rather all about the money.

Profit = to make a gain or achieve an increase on some investment, it does not have to be money and it does not have to be for investments. It can be as simple as emotional or spiritual profit after some action like giving to charity, planting seeds and seeing the crop grow. Earn is most often used to mean wages salary or payment for work or services you give or do for someone else. most common use is profit for investments or selling at a higher price. Earnings for wages and salary but they can often be interchangeable. Profits in a financial or monetary sense are also earnings. Profits are also called gains or returns/ returns on investments. You can earn not only money but respect, acclaim and acknowledgements prizes and awards etc. like the other people have explained.

I will profit from the sale of my house. I will make a profit when I sell my house. (I will make money. Not “earn”) I have to sell them at at least $2 per unit in order to make a profit. You can also use ‘profit’ figuratively. We’re profiting from the good weather and getting in some great hikes.

Profit as a noun refers to money earned (earnings/revenue) less costs incurred. Earnings is also a noun, but refers just to money earned/revenue. To profit as a verb is a synonym for to benefit To earn means to do something to gain a reward which as Daniel has said may or may not be money

To earn = to make money (action) Profit = earnings (what?)