And the group, Women Against Rape (WAR) headed by gender equity advocate Alexandrina Wong, has also criticised the response by the Caribbean Premier League (CPL) to the incident, reports CMC.
Ahead of Thursdays CPL clash here between Tallawahs and Antigua Hawksbills, Gayle, a former West Indies Test skipper, was asked Wednesday by the journalist: "How does the pitch feel so far in terms of the training (and) the weather?"
The 34-year-old Gayle responded: "Well I havent touched yours yet so I dont know how it feels", before adding "I like your smile; thats nice."
However, the CPL downplayed the incident, saying that Gayle was just sharing a light moment with the female journalist.
"Chris is excited for the tournament and was having a laugh with a journalist, who had a laugh back; there was no malice intended," the Antigua Observer quoted a CPL spokesman as saying.
"The lady in question had a jovial goodbye chat with him and we dont believe this was the action of someone who was offended."
Wong slammed Gayles statement and also called on the CPL to elicit an apology from the Twenty20 star.
"What its implying is one persons power over another in the use of the language and so we can either say its sexist and hegemonic," Wong said, adding that the response from the reporter "indicates that she obviously doesnt know her right to autonomy".
"She obviously doesnt know her right when it comes to agency of body so that she can identify certain types of language, how they allude to her biology and what its saying about her as a person," Wong said.
"CPL should demand an apology from him because as senior officials they ought to know and to behave better when it comes to gender equality."