According to this, Elizabeth IIis a direct descendant of one of Henry VIIs (the first Tudor king) daughters.
, the House of Windsor is descended from the House of Tudor and the House of Plantagenet - through one of Henry VII’s daughters, who married a Scottish king and whose great-grandson was King James I of England (at the same time that he was King James VI of Scotland), then through James’ great-grandson Georg of Hanover (King George I), who is Queen Elizabeth II’s great-great-great-great-great-great-great-grandfather. There are probably also other lines of descent over the centuries and generations, but these are the official ones through which the monarchy traces its claim to the throne.
Heres a good chart that shows her ancestry.
https://en.wikipedia.org/wiki/Ancestry_of_Elizabeth_II#Ancestry_tree
Perhaps I would have been more correct to say that Elizabeth II was not in a direct line of succession going back to The House of Tutors since it then passed to The House of Stuart then to The House of Hanover, then The House of Saxe-Coburg (The House of Windsor - From 1917).
http://www.thamesweb.co.uk/windsor/windsorhistory/kings_queens.html
Basically all the European royals are related to each other somewhere along their lines, some more closely related (cousins marrying 1st cousins such as Victoria and Prince Albert) than others.