'wind-insensitive' is a Modern English compound formed from 'wind' (Old English 'wind', ultimately from Proto-Germanic '*windaz') and 'insensitive' (from Latin 'insensitivus' via Old French/Latin roots), where 'wind' meant 'moving air' and the prefix/root of 'insensitive' ('in-' + 'sensitivus') meant 'not' + 'capable of feeling or responding'.

'insensitive' came into English via Latin 'insensitivus' (from 'in-' + 'sensitivus') and Old French influences; 'wind' comes from Old English 'wind' (from Proto-Germanic '*windaz'). In Modern English these elements have been combined as the compound 'wind-insensitive' to describe things not affected by wind.

The element 'insensitive' originally meant 'not feeling or responsive' (in a general sense); in compounds like 'wind-insensitive' its meaning narrowed to 'not affected by [X]' — here, not affected by wind.