Speculation that the two were about to announce their engagement had reached fever pitch after Bonas was pictured with Harry at Wembley Arena on Friday and was seen looking lovingly at her man during England's Six Nations win over Wales at Twickenham last weekend.
But Cressida, 25, is said to have confided in friends that she is "wrestling" with a future choice between her boyfriend and a possible stage career, the Daily Mirror reported.
The Prince, 29, has reportedly said he will wait until she is ready to get engaged.
"People talk to her all the time about Harry and she gets quite cross and says 'I don't want to get married yet'. She has not been invited to meet the Queen yet, so she's not at the stage of an engagement being imminent," the friend said.
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The Prince turns 30 in September, an age when members of the Royal family typically marry.
"If it was up to Harry he would get married straight away but he is very sensitive about her on this particular issue. Harry has told her he will wait," a source was quoted as saying.