Both of you are young.
First check your love compatibility score
http://www.chinesefortunecalendar.com/Match1.htm
Also, it's nicer to check the Feng Shui Match too.
http://www.fortuneangel.com/RoomMate.htm
Then you decide the relationship to
continue or not.
For your question,
Andrew was born on Female Wood Cow day. So, Female Wood represents Andrew.
Patricia was born on Female Metal Chicken day. So, Female Metal represents Patricia.
Wood is afraid of Metal. So Wood needs to please Metal.
Female Wood is connected to flower in the spring.
Female Metal is connected to fruit in the fall.
Female Wood needs spend time from spring, summer to fall to reach Female Metal.
That implies that it will take time for Female Wood to win Female Metal's heart.
Therefore, if you rush the relationship, then you will ruin it.
Only if you keep trying, then you will have the chance.