He wants to win back her trust.
win back
idiomTo win (something) that one has previously lost.
After the team lost the first two games, they worked hard to win back their fans' support.
The politician struggled to win back the confidence of the voters after the scandal damaged his reputation during the previous election cycle.
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all the way to Egery and back
The long way; a roundabout route; a long distance to travel.
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back down
To take a less aggressive position in a conflict than one previously had, or has planned to have.
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back forty
The most remote or inaccessible part of any place.
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back gammon player
A person, chiefly a homosexual, who has anal sex.
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back in the game
Having recovered from a disadvantageous position.
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back into
To advance to the post-season as a result of another team's loss, especially where one's own team has also lost.
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back of one's hand
A display of disrespect or scorn.
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back off
To become less aggressive, particularly when one had appeared committed to act.