争夺女人用英语怎么说呢

To compete for a woman in English is to "court" her or to "woo" her. These terms come from old-fashioned ideas of how men and women interacted, often with the goal of getting married. For example, a man might "court" a woman by taking her on dates, buying her gifts, and trying to impress her in order to win her affection.
Here are some example sentences in English with Chinese translations:
He's been trying to court her for months, but she doesn't seem interested. (他已经试图追求她几个月了，但她似乎并不感兴趣。)
He's a real ladies' man, always trying to woo women with his charm and good looks. (他是个真正的拈花惹草，总是想用他的魅力和好看的外表来追求女人。)
She's been courted by several wealthy suitors, but she's not sure which one she likes best. (她已经被几个富有的求婚者追求，但她不确定喜欢哪一个最好。)