A G I T A T E D. You spelled it correctly.
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The noun forms for the verb to agitate are agitator, agitation, and the gerund, agitating.
Bother, annoy, and disturb are words. Those mean agitate.
To cause trouble can be variously to incite, agitate, instigate, or provoke.A troublemaker can be an instigator, agitator, fomenter, rabble-rouser, or provocateur.
abstract , addle , agitate , amuse
Trouble, inconvenience, nuisance, annoyance...