A hypochondriac young man delights in getting an internship with America's favorite talk-show neuro-scientist/psychiatrist — until the good doctor goes berserk and the young man becomes his only link back to sanity…

What nicholsandrewhalls said. The inciting incident seems to be that the TV shrink goes beserk. Now what must the hypochondriac do?

Drop "young man" - it's superfluous.

"When a (character flaw?) hypochondriac is offered an internship with America's favourite talk-show psychiatrist, he (what action does he take - and what is his goal?)"

The stakes; his mentor's sanity, is relatively clear from your logline above, but the important details of goal and action are missing.