Don't worry at all! Most new pianists face the same problem, I remembered that I did and i believe it drove me up the wall. You'll eventually get a lot better at playing once you practice for a month or two.
Or alternatively, you can always do one hand at a time, and then put it both together, although that might cause some problems (like what you are facing now, not used to putting both hands together.)
Enjoy playing the piano!

(PS: If i say anything wrong, do tell, because I have a bad memory, and i might need telling myself...)