John Nimmo, who pleaded guilty to sending "menacing" tweets to a feminist campaigner, also targeted Labour MP Stella Creasy, a court heard.
Prosecutor Alison Morgan said Ms Creasy had suffered a "substantial impact" as a result of "these events."
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TV presenter Alice Beer has said the pair received similar kidnap and rape threats just weeks before the Crimewatch star was murdered.
In an interview with The Sunday Telegraph David Cameron has set out a series of policies designed to appeal to traditional Tory voters.
Nick Clegg will attempt to win over the female electorate when he kicks off the Liberal Democrats' general election campaign later today.