>>96008174 (OP)This is the objectively correct answer for D&D 5e
>>96008224For pre-5e Forgotten Realms, it depends. Since you say "caught", I'm assuming she's not a surface Drow minding her own business or an Eilistraeen, but either a Lolthite or Vhaeraunan engaging in evil activities (thieving/raiding/enslaving) on the surface. If a follower of Shevarash, whose whole thing is killing Drow on sight, catches her, she's dead. That's it. In fact, a follower of Shevarash might even kill a surface, non-evil, or good-aligned Drow. Sun, Moon, and Wood Elves, being mostly good-aligned, would all likely attempt to capture her for interrogation and then either execute or jail her afterwards. In the attempt to capture, or in defence or self or others, they likely kill her (this being D&D where basically all combat encounters end with one side dead). The rarer evil-aligned Sun, Moon, and Wood Elves may decide to help her or leave her to it, depending on what she's doing and how it aligns with their own evil goals, or simply kill her
Now that I'm thinking about it, there's something weirdly wholesome about the idea of a surface elf capturing a Drow for interrogation and then her falling in love with him. A Sun Elf, being just as arrogant and racist as her, would be a match made in Arvandor. Or the Demonweb Pits...