^^^ Wouldn't it have just been easier not to have her cousin as part of the wedding party?
Depends on the family....some "close knit" families (well, ones where the older generation insists that this is a close knit family and FFFAAAMMMIIILLLEEE has cousins & other relatives in the bridal party because that's just who you have in the bridal party), it would be like getting married to yourself (you need TWO people to stand up as the happy couple, old fashioned people think that they should be opposite gendered genetically - really forward thinking people still think that you need more than one person, whatever genders the genes & minds might be).
I grew up four hours away from my YOUNGER cousins (junior bridesmaid age range - but in the 1970s they didn't have junior bridesmaids unless you were having a large wedding party), didn't have many long term friends due to moving a lot growing up (13 addresses by the time I was 18) and had my sister as my only attendant - the groom had his best friend as best man. A year later we'd lost touch with the single guy but my sister is still my sister 38+ years later. He'd grown up moving a lot, too - military family.
The guy finished his second year at the local state university and went off to complete his degree at a more prestigious, well known, and EXPENSIVE school...never heard from him again.