Historical Romance, Hero is a spy

and he pretended to be a flamboyant to hide the fact that he's a spy for the crown. H and h met at an inn or something and H thought h's cane were his (his was accessories, while the h really needed hers because of an accident she had).
One scene in a library the H refused to help the h and then left her not knowing that she's really sick.

Please help me, everyone!