Well first off, I give you props for being brave enough to share this for critique with the rest of us! I don’t want to rehash the things that have already been mentioned, so I’ll try and offer some new perspective. (I write way more than I speak, so I apologize for such the long response; but I hope it’s worth your while.)
(1) This definitely feels like beginning of something larger because as a stand-alone it would not work because no gripping point has been made. Like everyone else said, there are too many questions that still need to be answered. But that’s not a bad thing. It means you’ve got a good start.
(2) Unless the names of your characters hinges on a twist or other important literary element in your story, I would just reveal your character’s names right off the bat. It can add a sense of mystery, but when it is drawn out for pages and pages for no apparent reason it will start to annoy the reader. Ask yourself why you feel it’s necessary to leave out their names and if it’s accomplishing the goal you had in mind. Perhaps it could work for a paragraph or two, maybe a little longer, if you have a good reason for doing so.
(3) Something I noticed is that you cater to the sense of sight by using a lot of imagery, which is good. The only senses you don’t really use much are the senses of smell and hearing. Perhaps you might also consider this. Like, for example, when you first talked about the rain, I felt I wanted to hear the sound of this rain and I wanted to smell it. The same for the flowers, and the tea. Even just mentioning that your characters smell and/or hear these things works. It doesn’t have to be done all the time but at least every now and then to make things feel more real to the reader.
(4) There’s a place where you say, “He’s playing with her.” And then immediately after the girl says, “It’s not very nice to play with people.” This is redundant. I think it would suffice if the girl just said it rather than repeat it. It’s okay to let the reader infer things at first, especially when you clear it up in the next sentence.
(5) One of the most important things you must have to keep the reader’s attention is use conflict. It doesn’t have to be a knock-down drag-out battle between characters, but something with tension must be happening to move the story along. Somewhere I read a suggestion of introducing a new conflict at least after every 500 words because after that point the reader will get bored. Of course, it’s only a suggested estimate, but the idea still applies. You’ve very well established that the female character does not feel comfortable around the male; now we are compelled to understand why. We also need to understand why she’s even going along on this walk with him and what their relationship is. These are the things currently driving the story; and unless the reader gets some more answers within the next 500 or so words after the point where you left off, your readers will lose total interest.
Meh, I feel like a hypocrite because I don’t do this for a living, lol. These suggestions are the best I can offer, and the vast majority of them come from what I recall in my readings about writing. May I recommend a site to you? Holly Lisle (http://hollylisle.com/fm) is a professional fiction writer, and she offers a lot of free articles and workshops to help writers improve their craft. She also sells other helpful things on her site. (I’ve probably read about everything on her site, lol. Everything free, anyways…) I think she offers really good advice, and it’s topical so you can just look up things that you feel you need some more help with.
And there are so many other sites out there that offer great, similar advice to fiction writers, like www.fictionfactor.com, writingfiction.suite101.com, writesf.com, sfwa.org, writing-world.com … I’ve visited all these sites and I think they’ve all helped me in one way or another. (Now, I’m just trying to finish my novel. o_o Less reading and more writing, right?) Yeah, reading is important in improving writing, so use these sites if they help you; but don’t get too carried away (like I did for a while <__<). The most important part about writing is actually writing. As some people might say, if you don’t write then you’re not a writer.
I hope this helps! And thanks for sharing your story, Foolaholic. ^_^