The Collaborative International Dictionary
                    Unexceptionably
                    
                        
                
                                                                    Unexceptionable \Un`ex*cep"tion*a*ble\, a. Not liable to any exception or objection; unobjectionable; faultless; good; excellent; as, a man of most unexceptionable character. -- Un`ex*cep"tion*a*ble*ness, n. -- Un`ex*cep"tion*a*bly, adv.
Chesterfield is an unexceptionable witness. 
--Macaulay.
Wiktionary
                    unexceptionably
                    
                        
                
                                                                    adv. In an unexceptionable manner.
Usage examples of "unexceptionably".
I shall take her down there tomorrow morning, so that she may meet him unexceptionably in company.
My bed was unexceptionably comfortable, but, in my then mood, I could have wished it a great deal more modern.
Eight of the fours passed the stand, some walking, others on the trot, and all unexceptionably handled.