Likely an Indian-derived modern form, possibly related to honorific or devotional name elements.
Anajee appears to be a modern form with an Indian background, though its exact roots are not fixed in the way older classical names are. The name may draw on devotional or honorific elements, which gives it a quiet dignity even when its precise etymology remains fluid.
That open-ended quality is part of its appeal. Anajee sounds contemporary and affectionate, with a gentle ending that softens the name's structure. In modern use, names like this often balance cultural resonance with creative spelling, and Anajee fits that pattern: distinctive, respectful in tone, and easy to imagine in a present-day family context.