Speaking exclusively to the Press Association, Scrivener said she had received “huge numbers” of messages, adding: “If I wanted to be famous I would have gone on X Factor.”
“It’s amazing to think that the world’s most powerful man managed to press the wrong button,” she said.
“I’m just waiting for a call from the White House with an apology.”
Most of the responses on Twitter were from people offering their condolences, with many Americans apologising for their president.
“I’m just glad he was not contacting me to say he was going to war with North Korea,” she added.
Scrivener, 41, said the first she heard of the incident was when she woke at 4am to huge numbers of messages on her phone from reporters hoping to speak to her. It was not until a few hours later she saw the tweets from Mr Trump.
Speaking from her home on Thursday, she said: “I wasn’t really sure what to make of it. I was in bed by half 10 last night and oblivious to it all.
“It has been very surreal. I am laughing about it now but he is the one who sent the tweet and I have been inundated with calls.
“I haven’t been able to leave my house. I’ve been bombarded and been contacted by press from around the world.”
Scrivener said she wanted to stay out of the debate surrounding Trump’s conversation with the prime minister, but added: “He 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.”
Scrivener’s account has just six followers compared with May’s 427,000.