Will not start when HOT

[Rubybug]

Good morning, Our 74 super will not start when HOT. It is an auto stick. When the key is turned and car is HOT no sound at all from starter or solenoid. Once cooled off it starts perfectly again. Can the neutral safety switch be susceptible to failure due to heat? What else could cause this?

We are new to the automatic group even tho having the car since 1994.  My wife loves her little autostick convertible.  We are both 76 years old.

My contact info assuming it is allowable to post,   dsmith1961@protonmail.com