hi sukriti.. thanks for your query..
well your doctor has given a proper treatment and advised you correctly to not use any moisturiser..
the actual fact is that Benzoyl peroxide
works as a peeling agent. It increases skin turnover( which may make ur skin dry), clearing pores and reducing the bacterial in your skin and treat pimples
skin drying is a temporary process and it wil be fine after some time.. so dont worry.. everything will be fine..
i think adapalene
cream must be added to your treatment along with benzoyl peroxide..
i hope this will help u..
if u have any further doubts or followup queries feel free to discuss.. wil be happy to clear them..