I should think they'd have accepted the proposal out of sheer relief.
The sheer relief and sense of escape is the thing I remember most.
Mine was out of sheer relief at getting even this far.
He nodded, choking with sheer relief, crying now for a different reason.
His first sensation was an overwhelming one, of sheer relief.
I felt ready to swoon all over again, in sheer relief.
After a startled moment and out of sheer relief, she hugged him back.
He had a curious expression on his face, half way between sheer relief and pain.
The walk in the garden that morning was sheer relief.
Pym looked as though he wanted to pass out there and then from sheer relief.