*edit* After the latest updates this achievement have been rendered unobtainable. As for right now, the below solution is void.
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Have a friend go into the in-game store to buy a curse and send it your way.
Play the game as you normally would and the curse will hit you a few seconds in. Survive the length of the curse.
Do this 10 times and the cheevo is yours.
If you are having trouble surviving the curses, buy the "Onyx Turtle Charms" from the in-game store. They instantly cancel any incoming curse, but still counts it as a "curse survived".