No public evidence exists that Queen Elizabeth II (or any senior royal) supported Glasgow Rangers. The British monarchy maintains strict political and sectarian neutrality—especially regarding Scottish football's Old Firm divide (Rangers vs. Celtic), which carries religious, cultural, and political dimensions.
Rangers' historic Protestant/unionist identity and Celtic's Catholic/nationalist roots make any royal endorsement politically sensitive. The monarchy's role is to unite, not divide, Scottish society.
Tabloids occasionally claim "Queen's secret team" based on trivial cues (scarf color, meeting a player). These are unfounded. The Palace never comments on private sporting preferences.
While the Queen respected Rangers' domestic dominance (55+ league titles), she never publicly backed them. The monarchy's football engagement is limited to national teams and ceremonial roles—by design.