The phrase "after dutifully" is correct and usable in written English.
It can be used to indicate that an action was performed with a sense of duty or responsibility before another action takes place.
Example: "After dutifully completing her chores, she finally allowed herself to relax and enjoy the evening."
Alternatives: "after responsibly" or "after faithfully".
After dutifully obtaining his law degree, he went to work at the Royal Court Theater in London.
After dutifully reporting these accusations, sports editors discovered they were not based on fact, an oversight that they will not readily forgive.
"Can't believe I just watched that whole thing," one aide responded via e-mail message, after dutifully playing a video clip from the Internet.
Recently returned from a demolitions job in Iraq, April is a 20-something hottie who nursed a drunken stepfather into the grave after dutifully absorbing his survival skills and militarized view of the world.
After dutifully making the glop that passes for food for two old, unmarried sisters and their religious, ascetic friends, a poor, widowed French cook (Stephane Audran) decides to secretly blow her lottery winnings on an exotic meal.
On my latest trip to Granada, after dutifully taking a two-hour stroll to reacquaint myself with the complicated splendors of the Alhambra, I hurried off to sample the simpler pleasures of the Albaicin.
After dutiful bullpen meetings with the mayor, aides run outside with their cellphones.
After dutiful condemnations of the violence, an old, sterile division has come to dominate it: between those who want to be nasty to the culprits and others who want to be nice.
As if we had not had enough fun at Matthew Warchus's Boeing-Boeing, he enlisted Kathleen Marshall to choreograph a final burst of motion and mirth, insuring that even the bows failed to begin to distance us from the show we had enjoyed; it sent us bouncing out of the theater, not merely collecting our things after dutiful or enthusiastic clapping.
Students huddled in their overcoats last Wednesday, stealing puffs of cigarettes between classes and after school, dutifully respecting the school's no-smoking zone out front.
After a dutifully memorized laundry list of names, Hathaway closed with the wish that "someday in the not too distant future, the misfortunes of Fantine will only be found in stories".
