Meanwhile, while Old English had a West Germanic grammatical structure, Modern English has a North Germanic grammatical structure due to the influence of said Danish settlers
This is not precisely accurate; Old English did undergo dramatic restructuring as the result of Old Norse influence, but many of these changes were simplifications that took the language's grammar away from both languages; i.e. the loss of case and gender.
Of course it did also have a tremendous impact in making the language more like Old Norse in some ways of course, but I'm always hesitant to use turns of phrase like this because they imply that English isn't a West Germanic language, which of course it still is.
(Pedantry over, my apologies).
