Its really hard to answer this question because so much depends on how it happened and what butterflies it causes.
For example, If Columbus sailed for England and ended up roughly where he did OTL, then the Aztec might have fallen under the sway of the English. But would they have used trade like they tended too later on, or would they follow the Spanish model and outright conquer them. They had the soldiers I think, it was soon after the war of the roses.
Colonization patterns would be different too. Spanish tended to send single men to Aztec and Inca areas, they would then intermarry. There are no grand civilizations to marry into in NA. And how would waves of English families fair in Mexico.
Also, England continuing to expand into SA seems to be dependent on capturing way-stations like the Azores. This might block Spanish efforts in NA altogether. Seems like their ships would cross paths a lot, at least later on.