“the better half”
One's better half jokingly refers to a spouse, especially a wife. Dan twice uses it because he mistakenly assumes Tina is Frank's wife. Although it sounds complimentary, it misidentifies their relationship.
B2-37 / CEFR B2 / EPISODE 37
Correcting a misunderstanding without embarrassment
SceneAt a conference, Frank and Tina ran into Frank's colleague, Dan. On the way out, Tina brings up something Dan said.

WORDS & CONTEXT
One's better half jokingly refers to a spouse, especially a wife. Dan twice uses it because he mistakenly assumes Tina is Frank's wife. Although it sounds complimentary, it misidentifies their relationship.
Talk in paragraphs compares someone's long, uninterrupted speech to whole blocks of text rather than individual words or sentences. Frank says Dan left no gap to correct the misunderstanding before moving on to complaints about parking.