There certainly is.
This is where conditions come into play. Rather than crossing such women entirely off our lists (which turns polygyny into a structure for maximizing our own life's wonderfulness), it's entirely appropriate to present them with a list of conditions you expect
them to meet. Those conditions, in a scenario such as the one you describe, could include:
- Functionally repenting for past behavior.
- Demonstrating an ability to refrain from sexual interactions for a set period of time.
- Engaging submissively in whatever discussion you need to have to establish confident trust that she's capable of pair-bonding without adultery.
- Dressing modestly.
- Refraining from posting even remotely-provocative photos on social media.
- Perhaps living with your family for a significant period of time without romantic interaction between you and her, during which she's required to assume chore responsibilities and work outside the home to bring income to your family.
- etc.
Much of this would be unacceptable to someone who is more committed to being rescued than to being a wife.