We all need each other's help to maintain a stable walk and to go forward for the cause of Christ. There is great stability in unity and peace, standing together against a common enemy. In this verse Paul teaches us how to think. Church conflicts usually come from preferences, not doctrine. Paul speaks to both of the women and says, be having the same viewpoint or to think objectively in the Lord.
Conflicts come from people who are concerned about their own interests.
If they both had operated in the mind of Christ, there wouldn't be any problems. Two people who are right with the Lord will be right with each other. The Spirit doesn't battle the Spirit. No longer are they to look at each other in terms of antagonism, but to look at each other in terms of doctrine, seeing each other as members of the royal family of God in union with Christ. It is directly against the word of God for any woman to have any antagonism in her soul for another woman, or for one believer to be antagonistic toward another believer.