You say that they reduced the puffiness of your nips but it appears that they left the gland behind? This sounds like conflicting information. If they did a gland excesion to reduce the puffiness, you would be left with basically fat, but they are now saying that they need to remove the breast tissue from behind the nips? This would suggest that they have not removed the gland and only done fat removal in the first op. I can't quite figure out what they have done mate. I have heard of people having lipo initially to get rid of the fat and then having gland excision at a later date so I can only assume that this is the case with you. But why wouldn't they have done both procedures at the same time?
Anyway, if this second op removes the rest of the 'bulk' so to speak I suppose you are on the way to having a flat chest. Have they said what procedure they intend to use? Lipo? Nipple incision? I would personally question them as to why they have chosen to do it in this way and why it wasn't all done in the first instance. Also find out exactly what they did the first time, was it gland or just fat removal? Make sure you have it straight in your own head so you know what to expect after your second op. Most fellas on here have lipo and gland excision in one go as this removes the necessity to go through the trauma twice! It just makes sense to do it this way.
You have experienced the same things as pretty much every other member of this forum in terms of your personal anguish. Don't think that it is just you, it's perectly normal. We have all had to endure the social uneasiness that goes with having gyne and you were right to try and get it sorted if it bothered you that much. Some put up with it and don't bother, whilst most really want it sorted, sadly some just can't raise the courage to do it and others just can't afford it which is a shame. The NHS were very reluctant to do mine and so I ended up going private. Either way, you are having 'plastic surgery' and so will be performed on by a plastic surgeon! I just hope your NHS experience is a good one. Why not post some pics on here (you don't have to show your face!) so that the other forum members can give their opinions on the level of gyne that you have? A lot have done this including me, and it allows others to give you encouragement in a honest way, be it offering support when going for the op or whether it's just to say 'it aint that bad!' if that's what you want to hear!