The headline is clickbait. She didn't say that sandwiches are not real. She is saying that she doesn't believe it is a proper lunch/meal.
"The Spectator asked the Tory leader — elected to the head of the U.K. opposition party in November — if she ever took a lunch break."
The Spectator are using their press privileges to ask party leaders about their personal lifestyle rather than asking about anything relevant to policy - and although the Spectator might be forgiven for that, it is indefensible for 'serious' newspapers such as the Guardian and the Telegraph to be giving this story front-page status.
There are lots of politicians for us to be embarrassed about, but perhaps even more journalists.
I am of the opinion that the vast majority of journalists are simply stenographers. I wouldn't expect them to do their job. Unfortunately you have do piece together the truth for yourself.