SHY GUYS- When do you percieve a girl as "pushy"?

[Hiiiii]

I want to get to know this really really shy guy but he doesn't talk a lot and we dont see each other much. He says hi/hey when we pass each other most of the time, smiles, sometimes waves. I direct message him on twitter and tweet to him and he replies like 4 times, acting engaged in the convo and then stops so idk ... I want to text him but... isn't the twitter thing of not always replying to dms kind of a bad sign? should I keep "chasing"? He might actually like me & is acting like this because he is, by nature, reallyyy quiet & shy. He doesn't often start the convo, but maybe he doesn't know what to say or have anything to say. But I really feel like I should have my turn being chased... Right? I haven't talked to him in a couple days/ maybe a week.

When we do have face to face conversations though, I have caught him like 3-4 times full-face blushing and it is the cutest thing ever. For no reason. We'd be talking about a band and he turns soo red. And it's not like he's embarassed in front of anyone because we would be in a room alone most of the time. So I think that is a green light, a good sign. Do you?

I just don't like starting the convo so much......
I feel like I'm being pushy but I'm probably overthinking... right?

SO, SHY GUYS,.........Do I go for him, be direct, & give him my #? Or wait for him to 'catch up' & actually put in more effort?

[SGM]

As a former shy guy, I can tell you he will not see you as pushy if you are simply being friendly and trying to help the conversation along. "Pushy" is when you are not acting like a warm person.

See if you can get him on a bowling date. You have short chats between throws, so it's not prolonged face-to-face conversation where you stare at each other. After a game of bowling, he will feel more comfortable talking to you during a light mean in the eating area.

[Lulu]

Go ask him to hang out at the movies. No pressure! Just focus on the movie and just talk about it afterward.

& you made more progress than me when I had a crush on a shy guy. He would never talk to me so gave that up.

You are lucky you can talk to him over twitter. I would talk about things that are comfortably like dogs, school, and light conversation. This guy will eventually feel more comfortable with you and open up. Just be friendly and patience. & don't forget your humor! That always break the ice with shy people. My friend used to be a shy mouse and now she's not afraid to make chicken noises in an engineering lounge.

[Elizabeth Chuacer]

Help give him a nudge in the correct direction, but always leave him some room to bring himself forward, always stop short and give him room to be curious and persuant toward you. My guy used to be super shy around me. All it took was building up a friendship and some trust between us