After twenty years' loyal service, they gave her the push.
2.
to end a relationship with someone.
They'd only been seeing each other for two weeks when he gave her the push.
give (one) the push
1. To fire one. Primarily heard in UK, Australia. After messing up that account, I'm terrified that my boss is going to give me the push.
2. To end a relationship with a romantic partner; to break up with one. Primarily heard in UK, Australia. No, Susan is single again—she gave Kelly the push.
give someone (or get) the push (or shove)
dismiss someone (or be dismissed) from a job; reject someone (or be rejected) in a relationship. British informal