I've just been there and was rammed twice (once by each); didn't kill me but my shields were greatly reduced. I watched as the Cobra was firing at an Anaconda (a known name in GalNet lists) who was just ignoring it. Decided to shoot the Cobra myself to see what happened (got plenty of credits so wasn't particularly bothered about costs incurred). Someone else knocked him as I was getting in close. I opened fire and the station ripped me a new one before I could do any real damage to the Cobra. I should have waited until my shields were fully recharged and had a bit more time firing. 88% hull damage is a mere scratch.
Here is what you do if you have the money. Get a vulture with good shields and ram him back. Then have a friend take him out with 4 rail guns. One dead Cobra.