We consider a time-harmonic spherical electromagnetic wave that propagates in achiral medium and is incident upon a chiral body. In order to study the inverse scattering problem we formulate the direct transmission electromagnetic problem, we define the corresponding interior transmission problem and study its well-posedness.We use appropriately the Reciprocity Gap Functional and study its properties in order to introduce a new method to identify the unknown chiral scatterer. Such problems arise in medicine, target identification, chemistry and detection of chemical waste deposit.