Sometimes it is okay when hot, if the engine cycle is in one position and not another. I have moved it in gear, just a bit, and I could start it. Mostly though, I start it on compression, on an incline, if it won't start when hot. Yes, it has a standard (stick) transmission.
Saturn starts fine cold, but solenoid just clicks when hot. It won't start. on 1999 Saturn SL2
Starter is bad, change it