Join one or many of the affiliate programs and accent your website with affiliate offers that will not compete with your websites product or services but will instead add to your users experience. You might not catch the customer for your business but if the affiliate products or services are chosen correctly you may pick up some sales there.
They might read your website and say well I don't really need that right now or that wasn't quite what I was looking for but then see that you do offer more of what they were in search of.
Some of the top affiliate programs are of course ClickBank, CommissionJunction and LinkConnector.
You can also optimize with Google Adsense if not doing so already and in the Adsense account input every last single URL for any direct competitors to keep their ads off your website, again this will make the ads just closely related and possibly catch some clicks.
Tons more things you could so but those are the main 2 that come to mind. Good luck Ludvine :)