Ahh. I see problems.
I suggest you come up with another, unique name for your magazine and website. Trademark law centers on consumer confusion, and I can see a consumer becoming easily confused over thinking your site is affiliated with Style Guy's magazine column. If Style Guy writes on men's fashions and you were selling doughnuts, the confusion would be less likely.
Invented names like Kodak and Xerox, and portmanteau words like Microsoft, are considered strong marks and strong marks receive the greatest protection under trademark law. Weak marks are often ones that use geographic names or generic words or surnames or words that describe the product or service. These weak marks only become strong marks over time, when they become attached in people's minds with a specific product or service (ie, Speedy Printing, Dunkin' Doughnuts, Arizona Iced Tea, McDonalds). These marks are then said to have gained a "secondary meaning." Some weak marks (perhaps most) will never reach that level of recognition.
It is almost always wisest, therefore, when you are starting a new business to come up with a trademark that is uniquely your own, and then build up recognition of the mark through its use in commerce. The more unique the name, the more protection it is offered at the start under trademark law. "Azarenka," for instance, seems to me to be a pretty good name (unless your business is tennis-related - then you may run into publicity rights issues with the tennis player of the same name).