Fainthearted, a.
Wanting in courage; depressed by fear; easily discouraged or frightened; cowardly; timorous; dejected. Fear not, neither be faint-hearted. Is. vii. 4. -- Faint"*heart`ed*ly, adv. -- Faint"*heart`ed*ness, n.
Shades of meaning
Fernald has no entry of its own for faint-hearted; he lists it under faint.
Where he writes about it:
A person may be faint when physically wearied, or when overcome with fear; he may be a faint adherent because naturally feeble or purposeless, or because half-hearted in the cause; he may be a faltering supporter because naturally irresolute or because faint-hearted and timid in view of perils that threaten, a listless worker, through want of mental energy and purpose. — from faint