‘Nudiustertian’ means ‘of or relating to the day before yesterday’ so, in the context of the question ‘if today is a Friday’ then the day before yesterday would be Wednesday. The word is now rarely used and it is derived from Latin “nudius tertius”, from the phrase “nunc dies tertius est” (“now is the third day”). The word was coined by Nathaniel Ward (1578–1652) in “The Simple Cobler of Aggawam in America” (1647). This work was written under the name Theodore de la Guard as it was a scathing critique of the ruling authorities, church, society and moral standards of Ward’s native country, England, written from the perspective of a humble expatriate cobbler.

'Nudiustertian' is used in a passage where Ward is being highly critical of women 'enslaved' to fashion, “but when I heare a nugiperous Gentledame inquire what dresse the Queen is in this week: what the nudiustertian fashion of the Court; I meane the very newest: with egge to be in it in all haste, what ever it be; I look at her as the very gizzard of a trifle, the product of a quarter of a cypher, the epitome of nothing, fitter to be kickt, if shee were of a kickable substance, than either honour'd or humour'd”. The word ‘nugiperous’, meaning ‘given to inventing trifles or useless things’, is another word coined by Ward.

Nathaniel Ward (1578 – October 1652) was a Puritan clergyman who emigrated from England to Massachusetts in 1634 after being dismissed from the clergy in England for his Puritan beliefs.

More Info: en.wiktionary.org