throw to the dogs

verb3

1. •
   To throw away as useless.

   • Throw physic to the dogs; I'll none of it. — 1606
2. •
   To remove or cast out someone or something from one's protection, such as into the streets.
3. •
   To give up on something valuable.

   • Let's hope it will not throw "to the dogs" its new-found opportunity for winning back public favor and respect. — 1945