Solutions :

3-letter words (1 point): 40

ADO; AIA; AID; AUA; DAE; DAH; DAL; DEI; DIE; DIG; DOE; DUE; DUI; DUO; EAU; EDH; EMO; EMU; GAE; GAU; GID; GIE; GIO; HAD; HAE; HUI; IDE; LAD; LAH; MED; MEU; MOA; MOE; MOI; MOU; MUD; ODA; ODE; OUD; UDO.

4-letter words (1 point): 39

AGIO; AHED; AIDE; AIGA; DAHL; DEAL; DEMO; DHAL; DIAL; EIDE; EUOI; GAED; GAID; GIED; GUID; HADE; HAED; HAEM; HAUL; HEAD; HEAL; HEID; HUIA; HULA; IDEA; IDEM; LADE; LAID; LUAU; MEAD; MEAL; MEOU; MOAI; MOUE; MUID; ODAH; ODAL; ODEA; UDAL.

5-letter words (2 points): 10

ADIEU; AIDOI; GUIDE; IDEAL; IDIOM; MEDAL; MEDIA; ODEUM; ODIUM; OIDIA.

6-letter words (3 points): 3

MEDIAE; MEDIAL; OIDIUM.

7-letter word (7 points): 1

HAEMOID.