“Lesbian Cyrano” — high concepts don’t come much more concise. In expanding on this theme in “Burning,” a production by Boston Playwrights’ Theatre, Ginger Lazarus delves into much more serious matters than courtship by proxy. The playwright’s central character, Cy Burns (the gruff and appealing Mal Malme), is an ex-Army sergeant who got herself booted from the service for insisting on “telling” when the official policy was don’t — and don’t ask, either (only recently repealed). Exactly why Cy chose to come out, torpedoing her career, is a semi-mystery skillfully teased out in the course of this timely, thought-provoking play directed by Steven Bogart.
Sidelined from her chosen calling (she signed on as a teen, after her family kicked her out), Cy runs a small cafe and grocery store near an Army base in a remote Western town. When not seeing to customers (evidently scarce) or stocking shelves, she writes a gadfly blog titled “Army Dyke Tells,” chronicling intra-unit assaults on servicewomen around the world.