A man who courted a woman became the courted in return. Have you heard of such story?
The man liked the woman so he asked her out. The woman said she would go out with him if he could stand listening to a preacher. The man said it was not a problem. He was excited. He began talking about the details of their date. To his surprise, the woman started preaching. She talked about Jesus. She presented the gospel to him. It was so fast and unexpected but the man understood. Their "date" was forgotten. The man wanted to read his bible instead.
Sometimes a man you just met will show interest toward you. You may not want to go out with him because you share different beliefs when it comes to dating and courtship. But then, consider and ask God about it. I think there's nothing wrong with going out on a date with a man you barely know. Go if you can handle it. Go if you know your emotion is not lord over you. Go if the Lord tells you. Take it as an opportunity to preach the gospel. When you're sure to go as the Lord directed you, then you know you have the grace to handle the situation. Who knows, you may not even end up dating.