Theresa May Scrivener, who lives in the coastal town of Bognor in West Sussex, used her middle name when she set up her Twitter handle @TheresaMay in 2009.
Trump tagged that handle instead of the British Prime Minister's handle before deleting the message to send it to the correct handle: "@Theresa_May don't focus on me, focus on the destructive Radical Islamic Terrorism that is taking place within the United Kingdom. We are doing just fine!".
"It's amazing to think that the world's most powerful man managed to press the wrong button. I'm just waiting for a call from the White House with an apology," said Scrivener, who has been bombarded by messages from contrite Americans apologising for their President.
"I haven't been able to leave my house. I've been bombarded and been contacted by press from around the world... I'm just glad he was not contacting me to say he was going to war with North Korea," the 41-year-old said.
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"He [Trump] needs to think before he tweets. We - Theresa May and I - are so different. Our profiles are completely different. She runs the country, I'm a mum from Bognor," she said, refusing to be drawn any further into the controversy over the content of his tweets.
Trump's re-tweet of three videos first posted by Jayda Fransen, the deputy leader of Britain First, has created a major uproar in the UK.