Hameed Mubarak, 29, from Paddington, west London, admitted raping a 35-year-old woman in her north London flat in February.
Mubarak threatened to kill the woman with a pair of scissors, Southwark Crown Court heard.
Judge John Price said: "The sentence for this stranger rape, for that is what it was, will be a long one."
DNA evidence
Mubarak, a member of the United Arab Emirates army, had only been in Britain for a few weeks when he launched the early morning attack.
He tried to bluff his way into the woman's flat twice without success, but returned a third time. As soon as she opened the door he forced his way in.
He dragged her towards an open window in her bedroom, leaving her convinced he was going to throw her to her death.
Mubarak then held a pair of scissors to her throat and warned her if she did not submit he would kill her immediately.
After he had raped her, Mubarak dragged her into the shower in an apparent bid to destroy any DNA evidence before he fled.
However, a trace of his DNA was found on a bottle of water Mubarak drank from at the flat and he had been filmed by CCTV cameras.
Deportation order
Mubarak initially denied one count of rape but he changed his plea to guilty shortly before his trial was due to begin.
The judge ordered a pre-sentence report and an impact statement from the victim.
Mubarak was remanded in custody and is due to be sentenced next month. He was told he would be deported after he had served his sentence.
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