Before using a gambling website you need to check the customer support of online casino. If you are going to play frequently on a website, it is important that you do not ignore this feature.
Researches of the whole site would be better instead of focusing on its customer support. Customer support does not guarantee that the site is a good place to spend your money. At least try to find some valid reviews about the site where you are going to play.
Lets talk about facts here. There is nothing like a trustworthy gambling site on the face of earth. It is all in the heads of gamblers and exist to that scope only. In reality, owners of gambling sites or casinos are looking forward to generating as much income as possible with the help of customers money. Use some basic common sense. If businessman will turn into honest and caring lads, then how will they get any profit?
Your explanation doesn't make much sense though. Sure there are trustworthy casinos out there and yes they all want to make a profit, nothing wrong with that.
Trustworthiness doesn't have anything to do with wether the casino wants to make money or not.
A casino that has been consistently paying out and has provably fair games, I'd call trustworthy.