2021/22:
Currently 14. Already comfortably the most defeats in a season for a decade, back to 2011/12 (15 losses). However we would need to lose 6 of the all last 8 matches to equal the horror shows of 2003/4 and 2010/11 (22 losses), while losing all 8 would equal the most defeats in the clubs history (24 losses in 38 games – 1916/17).
Apologies, somebody must have slipped me an Ibrox calculator for this part. 14 + 8 does of course = 22, not 24