[strike]If the cooler is installed properly then there should be no problem.[/strike]
If cabinet/case is pressing the cooler then there is a risk of damage. In this case you'll have no option but to remove the side panel which is also not recommended.
Checked their website. This case supports air cooler with height upto 155mm whereas this cooler has height of 159mm. This should have been checked prior to the purchase.
Risk of damage of CPU and mobo is there so better take it out in my humble opinion.
Regards,