A woman with such a small nose...

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She is less confident. 

She wants to keep material things to secure herself.

 

She also targets older people who are financially ready to marry them, instead of looking for people who have the potential for success, although most of these people are married, she does not mind being a mistress, and she usually does not meet an unmarried (single) man who treats her well.

 

Therefore, she does not trust a single man and is therefore satisfied with being a mistress (or a second wife in some peoples).