Could Pre-Islamic Arab women arrange their own marriages?

**Background**
I am currently in a discussion with someone who argues that Islam worsened women’s rights in Arabia. I have dealt with most of his objections, except this one: **Argument**
Before Islam, Khadija[R.A] was able to Marry Muhammad( PBUH ) of her own will, however after Islam, a woman who arranged her own marriage was considered an Adulteress : > It was narrated from Abu Hurairah that: the Messenger of Allah said: “No woman should arrange the marriage of another woman, and no woman should arrange her own marriage. The adulteress is the one who arranges her own marriage.” Sunan Ibn Majah 1882 Hence, Islam worsened women’s rights in Arabia. so my Question is, **Were Arabian women able and allowed to Arrange their own marriages before Islam?** Thx