Some conservative critics of the pope feel Francis was abandoning church doctrine and tradition, and seized on him withdrawing his hand as evidence of him shunning age-old traditions.
But many said the video clip did not give the full picture.
During a visit on Monday to Loreto, a major Italian pilgrimage site, Francis received a long line of faithful, some of whom kissed his hand.
He only began withdrawing his hand after having greeted many people.
Francis on Wednesday allowed nuns and priests to kiss his hand during his general audience.
One of them was Sister Maria Concetta Esu, an 85-year-old nun and obstetrician who has delivered around 3,000 babies as part of her missionary work over 60 years in the Central African Republic.
With Sister Maria Concetta standing at his side, and gently helping the pontiff with his papers that were blowing in the wind, Pope Francis told of how he met her in Bangui in 2015, where she arrived in a canoe.
"This is a sign of our affection and thanks for all the work you have done among our African sisters and brothers in the service of life, of children, of women and of families," Francis said, presenting her with a medal.
She then bowed and kissed his hand.
Among those watching how Francis would act was Archbishop Mark Coleridge of Brisbane, who tweeted: "She kissed his ring!"
Known as the fisherman's ring from the apostle Peter, who was a fisherman and the firstpope, Francis's version is gold-plated silver and depicts St Peter holding the keys of the Holy See.
Each pope picks his own ring, which will be destroyed at the end of his papacy, a formality that signifies the conclusion of a pontiff's reign.
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