The Collaborative International Dictionary of English v.0.48:
take the heat \take` the heat"\ (t[=a]k`[th][u^]*h[=e]t"), phr.
1. To be assigned or to accept the blame for some misdeed;
as, Mary broke the vase, but she acted innocent and young
Johnny had to take the heat.
[PJC]
2. To withstand high temperature; as, the new radios can take
the heat of a black car parked in the sun in Death Valley.
[PJC]
3. Hence: To endure stressful conditions, expecially without
signs of difficulty or complaint; as, if you can't take
the heat, stay out of the kitchen,
[PJC]