He was made a grand officer of the Légion d'honneur on 2 June 1809 and a knight of the Order of the Iron Crown, as well as a Comte de l'Empire in 1808.
He was landed at Pointe des Salines and captured fort Fleur d'épée and the town of Pointe-à-Pitre, strongly defended by the British.
He completed the conquest of the island by a long series of brilliant feats of arms and the French Directory (via Victor Hugues and Lebas) raised him to the rank of général de division.
Boudet headed some dragoons to punish the rebellion of Le Lamentin in December 1797 and then, after two years and having made the island defensible, he returned to France in April 1799 to take part in the Dutch campaign, under the command of general Brune.
Leaving Brest on 11 December 1801 and landing at Port-au-Prince on 5 February 1802, he treated its black, white and creole inhabitants equally and was thus made very welcome.
He took up garrison duties in the Hanseatic towns and was in the front rank during the Austrian campaign of 1809 at the head of the 4th Division of the 4th Army Corps commanded by marshal André Masséna.
General Boudet assisted in the capture of Vienna then distinguished himself in the fierce defence of the village of Essling (21–22 May 1809), turning a granary into an impregnable bunker.