Hello,
I'm not a doctor but i wish I had paid more attention to my enlarged liver years ago when I was first diagnosed with it. Like you, my doctor at the time said it was no big deal, just a fatty liver. Now I have full blown Cirrhosis. Your situation may be different; however, I recommend 2 things:
1. Get a 2nd opinion.
2. Start eating a liver-friendly diet. You don't have to go hard-core (like me) but if you can refrain from eating a bunch of salt, sugar, and fried foods, it can't hurt. If you are overweight, I recommend a reasonable diet to lose the weight over time.