Commentary for Avodah Zarah 69:11
א"ר חנינא לפי שא"א לה בלא צחצוחי חלב ושמואל אמר מפני שמעמידין אותה בעור קיבת נבילה
R. Hanina said: [The reason for forbidding cheese is] because it is impossible for it not to have particles of milk. Shmuel said: Because it is set with skin of a nevelah.
Daf Shevui to Avodah Zarah
R. Hanina says that Gentile cheese is prohibited because it may have drops of non-kosher milk in it. Shmuel says it is prohibited because as a curdling agent they use dried skins from the stomach of nevelah animals. This dried skin will have rennet in it.
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