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The Gregorian calendar was at first only adopted by Roman Catholic countries*, so places like England retained the 'Old Style' Julian calendar in 1582. The 'New Style' Gregorian calendar wasn't adopted by the United Kingdom and its empire until 1752. This sometimes led to switching back and forth between calendars as territories in Canada and elsewhere changed hands between European powers. See https://en.wikipedia.org/wiki/List_of_adoption_dates_of_the_Gregorian_calendar_by_country
So, there was a 10 October 1582 (Old Style) in such non-Catholic places, and it fell on a Wednesday. https://en.wikipedia.org/wiki/1582, https://vbattu.wordpress.com/tag/julian-calendar/
* the shift to the Gregorian calendar in 1582 skipped from 4 October to 15 October for the Roman Catholic church- civil adoption varied, even in Catholic countries- e.g. France made the shift in December that year. (sportsherald)