Teinobasis annamaijae is a species of damselfly endemic to the Philippines. It is dedicated to Mrs. Anna-Maija Muller-Kaltula in appreciation of her support of Philippine fieldwork. The male has a black head with a green stripe and pale blue sides. Its legs are brownish yellow. The wings have distinct vein patterns. The abdomen is long and slender, mostly black but with blue sides and markings. The female is currently unknown. This species prefers shadier habitats than others in its genus and has a limited local population in Mindanao.