As long as you avoid the German "digestif" bitters you'll be fine...
A couple of old cocktails, the "Old Fashioned" and the "Sazerac" are flavored with bitters, and those of us who were hard drinkers of yore can always turn to a "Pink", a couple of dashes of Angostura in a "rocks" glass,swirled, then a shot of gin (chilled for Transpondians like me), knocked back before lunch, the standard of RN wardrooms.

Any number of Italian apertifs including Vermouth are flavored with quinine and citrus. Punt e mes is a syrupy one quite like bitters, but I kind of like the "Lemonattila", a Vodka Martini using Limoncello instead of Vermouth.