Televised debates are conventionally an opportunity for personality to shine over policy and for those involved to assassinate the character of their opponents in front of millions (à la Trump/Clinton). There are two problems here for May: one) she lacks personality (she’s clunky and often quite awkward), and two) assassinating Corbyn’s character simply won’t stick with a British audience – they’ll see through it. In addition, she has an appalling record of dodging questions and responding with empty, prearranged statements that end with petty quips about Corbyn’s personality or the divisions within his party. She can get away with this during PMQs because only about 350,000 viewers tune in to watch it each week (although shared clips on social media have, to some extent, helped expose this).
So the simple reason why May won’t – or at least thus far has refused to – partake in a televised debate with Corbyn is precisely because she fears that she’ll lose. Corbyn isn’t like conventional politicians. He doesn’t engage in character insults, he sticks to policy and actually has quite an appealing personality – he carries an air of sincerity that most mainstream politicians lack. These qualities are exactly why he thrashed his opponents in the debates for the Labour leadership contests. Moreover, as poll after poll shows, large majorities of the population actually align with his policies, which is obviously petrifying for his opponents, who simply want to distract from them at every turn.
So yes, it makes perfect sense that Theresa May wouldn’t want to subject herself to the potential loss she’d undergo from a televised debate with Corbyn. Her PR team will most certainly be doing everything they can to keep public pressure off of her. They will also have been doing everything they can over the past 24 hours to play down the scandalous and cowardly refusal. And if you want the subtlest but not insignificant example of media double standards, then just imagine what the scale of the reaction to Corbyn refusing a debate with May would have been. Needless to say, it would be a national scandal, splashed across every front page, with panel discussions galore on all major news programmes.