advice needed

The MFP intake is calculated as a deficit of 250 calories (for 1/2 lb a week) from its estimate of your routine daily energy expenditure, excluding exercise. If you eat that you should see a loss. If not it may be over-estimating your BMR or activity level and you might want to drop the calories a bit to ensure there is a real deficit.

If you exercise and put it into MFP your food calorie intake goal will rise accordingly, to maintain the same deficit in the day.

BMR is basal metabolic rate - i.e. how much energy (calories) your body uses to keep your cells alive - or in other words how much energy (calories) your body would need if you were in a coma

TDEE = total daily energy expenditure - this is how much energy (calories) your body uses each day (depending on how you calculate, it's usually an average of the whole week) - this is the energy keeping your cells alive AND the energy you burn moving around and doing stuff

To lose fat, you need to eat less than your TDEE. One lb of fat has 3500 calories, which means if you want to lose 1lb in a week then you need to eat 700 calories less than your TDEE each day. However many calories you eat below your TDEE is your deficit. A small deficit is good for slow and steady fat loss. Too big a deficit can cause problems, i.e. losing muscle rather than fat, metabolism slowing, greater risk of rebound fat gain etc.

Your MFP intake gives you a daily deficit of a little over 300 calories, this would add up to half a lb fat loss each week. (because that's what you've selected for it to do, if you select for more fat loss it'll give you a bigger deficit) This is a good deficit for slow and steady fat loss.

Fairly simple equation. You know your bmr, take 20% from that and its your caloric needs. On top of that start doing heavy strength training. And by heavy i mean you cant do more than 8-12 reps. ST is what cuts fat.