1) Calmly 2) Coolly 3) In a coy manner 4) In a demure manner 5) In a shy or prim way 6) In a very modest manner 7) Placidly 8) Serenely 9) With coyness 1) Coyly 2) Pompously 3) Primly 4) Shyly 
• (adv.) In a demure manner; soberly; gravely; -- now, commonly, with a mere show of gravity or modesty.
De·mure'ly adverb In a demure manner; soberly; gravely; -- now, commonly, with a mere show of gravity or modesty. « They . . . looked as demurely as they could; for 't was a hanging matter to laugh unseasonably.» Dryden. 
[adv] - in a demure manner
adverb in a demure manner; `the army girl, tall and demurely pretty, threw a quick side-glance at her`