She's pretty popular, especially with her stance on Brexit.
This. While most of GAF and most 'remain' voters hate her, she is by far the most popular leader of any political party. Large elements of the press absolutely worship her.
She's very good at giving the impression that she knows what she's doing and most people aren't politically engaged enough to check the facts behind her bullshit.
Unlike Trump, she says very little, but says it in bold quotable soundbytes. Most of the time, she doesn't say enough to be caught in a lie because her main policies are meaningless ("Brexit means Brexit!", "We'll get the best possible market access!", etc.).
Sadly, the leader of the opposition is basically a less popular and more socialist version of Bernie Sanders who lost a vote of no confidence among his own elected MPs by a ratio of about 3:1 but refused to leave because he could still win in our equivalent of the primaries (the <1% of the population who are registered labour supporters tend to like him). He has a similar problem to the Democrats since his party base is young metropolitan liberals and old working class union people. Most of their support comes from leave-voting areas while most of his voters supported remain.
The rest of the opposing parties have a much clearer focus but are hopelessly split between the Scottish, who mainly vote for the scottish party (but that is only about 10% of the seats), and the Liberals, who would be a good opposition, but threw away a lot of goodwill by forming a coalition with the Tories. UKIP are an ever-worsening dumpster fire of a party, which is probably a bad thing because their voters are going back to the Tories now that Brexit is happening.
Unlike America, our shit won't be fixed for a good 9 years. Theresa will ride comfortably on her slim majority for 4 more years, then thrash Corbyn's labour and get another 5 with a huge majority.
The only thing that can stop this is a catastrophic Brexit that causes the Tory party to fight amongst itself. Tories are loyal when facing the opposition, but also hate each other and will commit 'regicide' as soon as they think it's safe to do so. But even I don't think that trashing our economy to get rid of the Tories is a good plan.
Ah.... one day I'll write a concise political post that doesn't go all ranty.