This will be made much more possible by doing as Tom says, get a block of wood underneath the wires as you show in your 1st picture. Then, using something to put on top of them all to hold them steady, or even just the blue wire if that is easier. Then, it would really make the job much more reliable, get some of the smallest diameter heat shrink you can find and slip it over the blue wire coming out of the tonearm or the one going to the clip (end that broke off), which ever is the longer. Apply some flux to the ends of both wires to be soldered together, tin you iron tip with a small amount of solder. Take the broken off piece and place it on top of the existing tonearm wiring and touch them with your tinned iron while they are in contact with one another and you should have a joint. Then, slide the heatshrink over the joint and carefully heat it with a lighter, I use a small candle because I can control the distance better with it and get a smoother job. When done, you should have plenty of length to re-attach the clip to the pin. Go slow, steady hand....