A shy guy needs a little help.......?

You handled the last conversation really well and it flowed and wasn't awkward so don't think you've ruined your chances of getting to know her. :) Just because she signed of doesn't mean she may have done it deliberately; you don't know whether her computer may have faulted or turned off or maybe someone told her to get off right away etc etc etc. There are lots of possible explanations but if she did sign off it won't be because she was tired of the conversation . It'll either be that she does that to everyone and it's just a habit or she just forgot to say goodbye. Just say you wen't offline last time (even though you didn't) and say you're sorry you didn't say bye and then she'll probably say 'oh i thought it was me who went offline' :L. Works for me. :) I'd preferably just let it come naturally. talk to her wen you're ready and when it feels right. She'll like you better once you're hapy to start talking not when you've force yourself to come up with something but the option is there if needed. :)