Let’s start by saying there’s a difference between scandal and being scandalized. Scandal is something that tends to lead others to sin.
Now here’s my example. Suppose a young adult daughter has converted to Catholicism. Her parents are strongly anti-Catholic. She would like to be a good example of her faith.
However, her parents have a much stricter moral code. Any violation of this moral code will be seen as proof that her new religion is bad. Say, for example, that they believe it is Biblically required for women to have long hair. Seeing their daughter with short hair will cause them to think worse of Catholicism. Ought she to retain long hair for this reason? It seems all the elements are met - what is being asked is not itself a sin, and not doing it will indeed lead others towards sin.