Answer
No. One's duty should not be neglected.
First, sincerely try to correct the devotee without deriving pleasure from criticism.
If you find that you cannot do so in the proper spirit, then take the matter to your higher authority. Someone who can correct the person without personal enjoyment should handle the situation.
The correction still needs to happen. The responsibility should not simply be ignored.
You should see such situations as a personal test from Srila Prabhupada.
While carrying out the responsibility of correcting another devotee, you should simultaneously cultivate the proper internal mood:
"This is an act of service to this devotee. I must not enjoy criticizing him."
The service attitude has to be consciously developed. One should never react impulsively.
If necessary, follow the proper system of escalation by taking the matter to the next level of authority.
Leadership sometimes requires firmness. Certain devotees may become rebellious, and in such situations gentle words alone may not be sufficient. A leader may have to speak strongly according to the devotee's level of consciousness.
However, such firmness should always be exercised reluctantly—not with enjoyment.
Correcting or criticizing a devotee should never be a pleasurable activity.
It is often an unpleasant duty.
When a leader acts with hesitation, humility, and genuine concern for the devotee's welfare, those words carry spiritual power and are much more likely to inspire genuine transformation.
That is the proper mood of leadership in devotional service.