Final answer:
Danielle Steal can be searched without a warrant by the police officers on the basis of Stop and Frisk, as established by Terry v. Ohio, which allows such a search if there is a reasonable suspicion of a crime and the person is believed to be armed and dangerous.
Step-by-step explanation:
The police officers can search the suspect, Danielle Steal, without a warrant on the grounds of Stop and Frisk, according to the ruling in Terry v. Ohio.
This ruling allows officers to stop and search a person if they have a reasonable suspicion that the person has committed or is about to commit a crime, and to frisk them for weapons if they reasonably suspect the person is armed and dangerous. This procedure does not violate the Fourth Amendment as it caters to the need for officer safety and crime prevention.
In the scenario described, since the officer believes Danielle Steal to be armed and dangerous after committing a burglary, and because she fits the description of someone who has just committed a crime, the officers have reasonable suspicion which justifies their action to perform a Stop and Frisk search.