That is a sacred territory and a place of safety.
Sahih Muslim Book 15, Hadith 545
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I have declared sacred what is between the two lava grounds of Medina just as Ibrahim (peace be upon him) declared Mecca as sacred. He (the narrator) then said: Abu Sa'id caught hold of (Abu Bakr, another narrator, used the word" found" ) a bird in his hand and then released it from his hand and set it free.
Sahih Muslim Book 15, Hadith 544 Next Hadith → When we came to Medina, and it was an unhealthy, uncogenial place, Abu Bakr fell sick and Bilal also fell sick; and when Allah's Messenger (ﷺ) saw the illness of his Companions he said: O Allah, make Medina as congenial to us as you made Mecca congenial or more than that; make it conducive to health, and bleesus in its sa' and in its mudd, and transfer its fever to al-juhfa.
Sahih Muslim Book 15, Hadith 546
Sahih Muslim Book 15, Hadith 544 Next Hadith → When we came to Medina, and it was an unhealthy, uncogenial place, Abu Bakr fell sick and Bilal also fell sick; and when Allah's Messenger (ﷺ) saw the illness of his Companions he said: O Allah, make Medina as congenial to us as you made Mecca congenial or more than that; make it conducive to health, and bleesus in its sa' and in its mudd, and transfer its fever to al-juhfa.
Sahih Muslim Book 15, Hadith 546