Where does “tīhi” come from?

tīhi (Maori) comes from English cheese, from Middle English chese, from Old English ċīese — cheese.

Ancestry of “tīhi”, step by step

Step	Language	Word	Meaning
1	English	cheese	A dairy product made from curdled or cultured...
2	Middle English	chese	cheese dairy product
3	Old English	ċīese	cheese