back down
• withdraw a claim or assertion in the face of opposition.
• "party leaders backed down and rescinded the resolution"
Similar:
give in,
concede defeat,
surrender,
yield,
submit,
climb down,
concede,
reconsider,
backtrack,
back-pedal,
backdown
noun
• an act of backing down.
• "ministers have avoided sounding triumphal about the association's backdown"