Surrender was the act of submitting to another power, typically on compulsion or demand.
The Abzorbaloff expected the Tenth Doctor to surrender himself so as to save Elton Pope. (TV: Love & Monsters)
In 2007, Cyber-Leader One, after arriving in the Earth of N-Space with an army of five million Cybermen from Pete's World, made a global broadcast from Torchwood Tower ordering the surrender of humanity. Nevertheless, the Cybermen were met with armed resistance, much to the Cyber-Leader's confusion. The Doctor explained:
They're not taking instructions. Don't you understand? You're on every street, you're in their homes, you've got their children! Of course they're going to fight.
Plain white flags were typically used in the event of a surrender. The Doctor, holding a sheet of A4 paper on a stick, met a group of Cybermen, jokingly apologising for not having an actual white flag. (TV: Doomsday)
In 2009, following a Dalek invasion of Earth which saw UNIT massacred, the Commander General of the United Nations broadcast a message announcing Earth's surrender to the New Dalek Empire. (TV: The Stolen Earth) Sarah Jane Smith, along with Jackie Tyler and Mickey Smith, personally surrendered to the Daleks so that they could board the Crucible. When the TARDIS arrived aboard the Crucible, the Supreme Dalek ordered the Doctor's surrender. Later, the Doctor urged the Children of Time to follow Davros' order to surrender when they were transported to the Vault. (TV: Journey's End)
Daleks which boarded the Combined Galactic Resistance ship Aristotle announced that surrender was not accepted. (TV: Into the Dalek)
In 2019, the Reconnaissance Dalek believed that humanity would surrender, a belief challenged by the Thirteenth Doctor. Later, the Dalek ordered a military force to surrender, only for an unfamiliar sergeant to express surprise that it could talk. Announcing that the "allocated surrender period" bad expired, the Dalek proceeded to exterminate the soldiers as a consequence. (TV: Resolution)