A spokeswoman for the FTSE-listed RSA confirmed that Hunt would depart at the end of February.
She had joined the business in October last year, according to LinkedIn.
PRWeek understands that there are no plans to directly replace her role. Her role was eliminated as part of attempts to streamline and improve how RSA operates. No other roles are affected at this time.
Hunt reports directly to former RBS boss Stephen Hester, the RSA group CEO.
In a Q3 trading update last month, Hester said the firm's profits were up on the same period in 2016, "though by less than we had targeted", and hinted at cost-cutting, saying: "We are continuing to drive business enhancements across the Group, whilst taking further underwriting action in some portfolios to improve performance for 2018."
Immediately prior to RSA, Hunt was interim comms director at the charity Girl Effect, according to LinkedIn.
She also worked for the troubled Co-operative Bank during 2014, having previously led leading Olympic volunteering legacy charity Join In.