The question asks about the primary way French directly influenced the English language during the Middle English period.
Following the Norman Conquest in 1066, French (specifically Norman French) became the language of the ruling class, government, law, and high culture in England for several centuries.
The most significant and direct influence of French on English during this era was the extensive borrowing of French words. This influx dramatically changed the English lexicon, particularly in areas such as:
This intake of French vocabulary is widely considered the most prominent direct effect of French on English during the Middle English period.
While grammatical changes, including the simplification or loss of some inflections (word endings), occurred during the transition from Old English to Middle English, these changes were complex and resulted from various factors, not solely direct French imposition. The intake of French vocabulary, however, was a clear and direct consequence of French political and social dominance.
The most direct and defining French influence on the English language in the Middle English period was the substantial incorporation of French words into the English vocabulary.