I do not believe that style just comes to you, I believe that style is a choice. We choose whether to draw in the anime style, or draw American comics, or what not. But why do you draw the way that you draw? What influenced you, and are you willing to change your style?
Your drawing style comes to you from practice and emulation. Artists try to emulate anime but there are so many different approaches, saying that style is a preference is incredibly misguided. And second, don't focus on style, focus on the art. Your style will come to you in the long run.
My influences were indeed anime at the beginning, but I discovered there was more to it than just drawing a face. My biggest influences right now is western animation and concept art for video games/film. My style of drawing didn't come from looking at anime, it came from practicing gesture, perspective, storytelling and composition. It's the same thing that happens to all artists. Get it through your head.
My drawings look the way they are because I mostly use the default brush and scribble, or sometimes scribble the color, then draw the lines, then clean up a bit. I kind of got this from using MSPaint, and treating paint programs like MSpaint. I've made changes and drew in other ways, but there's still similarities in the choice of color and brush. Influences come from video games, favorites on DA, and random upside down thumbnails that turn out to be something completely different in full view.
I started out by copying western comics and that lead to studying anatomy, poses, perspective, and composition. So my work has a more realistic bent, I suppose. I liked J. Scott Campbell's girls too, so I studied how to draw like him for a while (I was never able to emulate him completely). I'm a technically minded person too so I try to bring in things like 3D modeling and rendering into my work too. My two current interests are a more graphic designer-ly high contrast art style and doing anime cel-shading. I could also say that those styles are a bit of a crutch because I was never good at doing gradient shading -- it always looked muddy to me, so I like the sharp look of nicely cel-shaded work.