It's actually rather unlikely in the time period you're talking about. Let's run some numbers:
1 pound of fat = 3500 calories.
10 pounds in 6 weeks means 35000 more calories burned than consumed in 42 days. That's 833 calories a day, every day.
You currently eat 2200-2500 calories a day, you say. Let's take the midpoint of that and call it 2350. If you keep your calories to 2000 a day, like you say, that's 350 of those 833 calories. That leaves 483 additional calories to burn, every day, by additional exercise beyond what you're doing now. And that also assumes no changes in metabolism from your body believing that you're going into starvation mode.
It's very hard to sustain the loss of more than 1 pound of fat per week. And even there, you're working at a daily calorie deficit of 500 from your additional exercise and lowered food consumption. So, most likely, if you lose 10 pounds in 6 weeks, some of that weight will be something other than fat.
However, this does lead to the question: why 6 weeks? What's so important about the middle of January? From the 350 calories a day based on diet (which, admittedly is very difficult in the holiday season), that's 1 pound every 10 days. (Six weeks are therefore enough for about 4 pounds by this method). Even if you only do the level of exercise you're currently doing, you'll reach the 10 pound mark in 100 days, which means right about St. Patrick's day. Do an additional 150 or so calories of exercise daily, and you can speed it up to 70 days, which means roughly Valentine's Day (Or, alternately, 6 pounds by your 6 week goal). So, your goal weight loss is definitely doable, but your time frame isn't particularly realistic if you want the loss to be of fat, rather than a combination of fat and other things.