Christ-'MAS' = 'Mæsse' = Latin 'Missa' = Catholic 'Mass' / Holy Eucharist

It is well known that the word behind Christ-'**mas**' (shortened form of 'Christ's Mass ) is '**mæsse**', which comes from the Latin '**missa**', the same word used for the Roman Catholic **'Mass'** / Holy Eucharist. Are there historical accounts which show that the Christian use of the term 'missa' is (hopefully) coincidental and that we are not accidentally celebrating a feast that initiated with, and is closely connected to the Roman Catholic mass, which is **obligatory** on both Dec24 & 25th?