on the horns of a dilemma
US /ɑːn ðə hɔːrnz əv ə dɪˈlɛmə/
UK /ɑːn ðə hɔːrnz əv ə dɪˈlɛmə/

1.
no dilema, entre a cruz e a espada
faced with a choice between two equally undesirable alternatives
:
•
She was on the horns of a dilemma, as both options would lead to negative consequences.
Ela estava no dilema, pois ambas as opções levariam a consequências negativas.
•
The company found itself on the horns of a dilemma: either lay off employees or face bankruptcy.
A empresa se viu no dilema: demitir funcionários ou enfrentar a falência.