ذَٰلِكَ وَمَن يُعَظِّمْ حُرُمَـٰتِ ٱللَّهِ فَهُوَ خَيْرٌ لَّهُۥ عِندَ رَبِّهِۦ ۗ وَأُحِلَّتْ لَكُمُ ٱلْأَنْعَـٰمُ إِلَّا مَا يُتْلَىٰ عَلَيْكُمْ ۖ فَٱجْتَنِبُوا۟ ٱلرِّجْسَ مِنَ ٱلْأَوْثَـٰنِ وَٱجْتَنِبُوا۟ قَوْلَ ٱلزُّورِ Qur’an Al-Hajj (22:30)Thalika waman yuAAaththim hurumati Allahi fahuwa khayrun lahu AAinda rabbihi waohillat lakumu alanAAamu illa ma yutla AAalaykum faijtaniboo alrrijsa mina alawthani waijtaniboo qawla alzzoori
See the first paragraph of 5:3 . Once again, the Qur’an stresses the principle that everything that has not been explicitly forbidden is per se lawful.
The term awthan (lit., "idols") denotes not merely actual, concrete images of false deities but also, in its widest sense, everything that is associated with false beliefs and practices or with a tendency to "worship" false values: hence the subsequent injunction to shun "every word that is untrue".
See 5:3.
The general food prohibitions will be found in ii. 173, v. 4-5, and vi. 121, 138- 146. They are meant for health and cleanliness, but the worst abominations to shun are those of false worship and false speech. Here the question is about food during Pilgrimage. Lawful meat but not game is allowed.