Ever since Trisha joined the Hong Kong/Macau branch of Interpol, she had been living on her own in Hong Kong. Her mother passed away from cancer when she was young and her father passed away roughly 10 years ago during a terrorist attack on the Hong Kong consulate in London where he worked. So, when she returned to Hong Kong, she was all on her own. She still had relatives in Hong Kong but she wasn't familiar with them and she didn't want to rely on them either. Fortunately, she had the inheritance and insurance payout from her father's death and it was enough for her to purchase an apartment where she could settle down.
Her father was a huge influence on her life. He was the one that inspired her to pursue law enforcement, and his death pushed her to join Interpol. So, her career was very important to her. It wasn't something she could just give up on. If she got herself involved with Oliver again, his mother would not be pleased.