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She's engaged!!!!! plus you made yourself look needy by telling her how you felt before you had any clue if you was going to get anywhere, move on to another girl
Sorry to say, but i think this is bullshit.
To the OP: I think you did good. From the reaction you tell us she gave you, i think she is attracted to you. at the least, you hit a soft spot (cant judge more, cause i wasnt there

).
Also, from what i can read, you have this instant connection with her because you was honest with her. You can tell her more now then you would be able to tell any other unfamiliar woman. You told her you like her, and although she didnt jump you in the arms, she didnt refuse. Normally for an engaged woman, you would expect her to leave. Not that she would be offended or anything, but just say no, and leave or say you should leave her alone. But she doesnt want to leave you, she wants to be friends so she has you close. She wants to be friends because that is the only thing acceptable in her situation and still be able to be with you.
In that context, she accepted what you said and in that way, you made quite a deep connection. This is important!
The fact that she accepted and you have this connection, you can tell her anything. This is your tool.
During the next periods of time you guys are together, amp up the tension. Be warned though, nobody else can know that you are doing this. So keep your mouth shut, act like nothing is happening towards your other coworkers. You guys need to have some privacy when you are doing this. Privacy, either because its just to two of you, or there are so much people (like at a party) that you can talk freely to her, and nobody else is going to hear nor pay attention.
You start with deepening the connection. So talk to her, get to know her. Relationships are always filled with cracks. There are few who are 100% fully content in their relationship. What you need to do is widen that crack until she bursts. So you make a deeper connection. You talk to her, get to know her. Who is she? what are her dreams? WHat is she passionate about (this is very important). You start by elicitation her values and passionate emotions, bring it up in her. Then, also very important, relate to her emotions by telling her what you are passionate about. make it funny, whatever, make the connection deeper. You can do this and go this personal because of the fact that you already have this honesty connection, which is pretty deep already. There will already be a lot of trust, there will be honesty and her replies to your questions will already be on a very personal level, in other words, she will be quite open in her responses.
After that, this can be in the same evening (like, dont take 2 months for connecting), you can suddenly say: darn, you are so hot, you should know the things i am thinking i would do to you

. Just that. She will smile and say something like: heheh, dont forget i am engaged. But dont mind. Calibrate her reaction, you should always take it to the edge. the point where she gets just about uncomfy. Usually, the first time you gonna do this, she will get uncomfy at the first sentence. Unless she has been fantasizing and masturbating while thinking about you

. Then the next time, you play with that again. You amp up the desire you feel AND you use the values and emotions you elicitated the previous time. You know what she is into, so ask about it. For example, if she goes crazy for knitting, ask her on the next private time if she has been doing some knitting lately. Be interested, ask questions, let her talk about it and elicit the feelings again. Then bang, hit her again with some more desire talk. Tell her you strongly feel like kissing her when she is looking passionate. again, play with that edge, amp up desire, attraction. This can take long, but eventually, if you keep amping it up, with the touch every once and a while and keep amping it up with every meeting, she will fall.
In one impulsive moment, you can get her to do things she wouldnt do normally.If you score big then, you have yourself a new fuckbuddy.
good luck!