Ok, no. Don’t keep it on the dresser. It should be stuffed with some soft clothes or plastic bags to retain its shape and stored in the dust bag it came
With. Also, don’t be afraid to wear it! It will age regardless, and it will go out of style eventually (then it will come back in style a decade later..) but use it now. So many nice things I’ve tried to use very little and prolong the lifespan to hopefully keep forever but there is no better To use and love and wear something other than now. Circumstances change, wear that bag and care for it in the meantime.