What would be a good gift for a slightly older chinese woman to that i care about in a non-sexual ea

I met a very wonderful woman several years ago. She is from China originally but has been in the states for a very long time and speaks very fluent English considering. I really care about her (non-sexually, like family) and have been starting to grow closer to her, but I have not been seeing her much lately altough i had dinner out with her at one of her favorite restaurants sometime last year and she gave me a wonderful gift, an ancient Chinese relic straight from her own collection and i dont think that she took it personally that i did not have anything for her but i still felt horrible. I did send her something sonetime later but it sucked in comparison (gift card). What can i do to show this amazing woman that i care about her ans want to get/stay close to her? If i learned likr chinese greetings would she take it as polite or might she take it the wrong way and be offended or smoething like that? I am abput as white as it gets and dont speak a word of any language other than English.