Acceptable, a.
Etymology: [F. acceptable, L. acceptabilis, fr. acceptare.]
Capable, worthy, or sure of being accepted or received with pleasure; pleasing to a receiver; gratifying; agreeable; welcome; as, an acceptable present, one acceptable to us.
Shades of meaning
Fernald has no entry of its own for acceptable; he lists it under delightful.
Where he writes about it:
Acceptable indicates a thing to be worthy of acceptance; as, an acceptable offering. — from delightful