Even if you wear lolita fashion but dislike tea, you can’t deny the prevalence of tea in the lolita subculture. Tea appears again and again both in the clothes themselves (here are some examples), and in the lifestyle, with lolita communities often arranging meet-ups at tea parlors. Some lolita brands have even released their own tea sets in the past.
Why do lolitas like tea so much? The main reason for this is because lolita fashion is heavily inspired by Victorian culture. A small history lesson on tea: The tea plant (Camellia sinensis) and the drink made from it originate from East Asia. The Chinese in particular have a deep history and culture surrounding tea, drinking it for both medicinal purposes and for enjoyment. Tea was even used as currency at one point! People (at least in America) most often associate tea with England, but the first European country to be introduced to tea was actually Portugal. From there it continued to spread all over the continent. 
When tea was first introduced to England in the 17th century it was foreign and expensive and thus was a luxury reserved for the upper class. In fact, it was a Victorian lady of nobility, Anna Maria Russell, Duchess of Bedford, who is credited with the invention of the “afternoon tea” we all know and love. Hence, the association of tea with Victorian England, and likewise with lolita.
My other personal theory on why tea is popular with lolitas is the idea of “ritual”. This post I found once on /cgl/ explains this perfectly (click the image to enlarge):
Taking things slowly and enjoying all the details is one of the things I associate the most with lolita. All the details in the fabric and lace make you more likely to stop and relish in all the intricacies, moreso than other clothing styles. In my normal day-to-day life I am often clumsy and rush about quite a bit, but whenever I wear lolita I automatically move more slowly and carefully, because I am aware of how delicate and expensive my clothing is.
How is this related to tea? Because tea is such a delicate plant with thousands of complex chemical compounds, all the details like water temperature, brewing time, the container it’s brewed in, even the season the leaves are picked in can all have enormous effects on the taste of the drink produced. To brew a proper cup of tea requires a lot of attention to these details. To fully enjoy and appreciate the tea also requires a good deal of mindfulness: tea is a delicate beverage, unlike coffee, and you need to drink it slowly to really capture all the subtleties in flavor.
Looking at tea’s historical association with the noble class, as well as the delicacy of the beverage itself, it is quite easy to agree that it is the perfect beverage for an elegant, classy fashion like lolita. 
Bonus: If you are interested in learning more about tea, I highly recommend the Mei Leaf Youtube channel. I’d start with watching “5 Ways Tea Makes you Happier” and “5 Common Brewing Mistakes”. Enjoy!
