My car-key broke off my key-ring.

[![Key fob with broken loop][1]][8]

The small loop at bottom right of photo is broken.

How can I fashion some method of securely attaching this to a key-ring?

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Followup to ErinGoBragh's comment:

<strike>The key (or more accurately the transmitter housing) can't easily be taken apart</strike>, the battery is accessed by turning a screw to unlock a battery holder that slides out. <strike>I suspect the plastic is glued (or maybe solvent-welded) together.</strike>

[![Fob with battery compartment open][2]][9]
[![Fob with battery compartment open][3]][10]
[![Fob with battery compartment open][4]][11]

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After ErinGoBragh's comment and Tetsujin's answer I dug around a bit more assertively ...

[![Fob disassembled][5]][12]  
[![Fob disassembled][6]][13]
[![Broken loop component extracted][7]][7]

Maybe there is some way to make a replacement for this small loop with its cruciform anchor-foot?

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I'll probably go with Tetsujin's answer and find a donor for the part. I did briefly ponder bending a paperclip or using sugru/polymorph/epoxy + a screw-eye. 

  [1]: https://i.sstatic.net/ZmamEm.png "Click photo for full size"
  [8]: https://i.sstatic.net/ZmamE.png
  [2]: https://i.sstatic.net/o3tThm.png "Click photo for full size"
  [9]: https://i.sstatic.net/o3tTh.png
  [3]: https://i.sstatic.net/EbSQPm.png "Click photo for full size"
  [10]: https://i.sstatic.net/EbSQP.png
  [4]: https://i.sstatic.net/xAtWAm.png "Click photo for full size"
  [11]: https://i.sstatic.net/xAtWA.png
  [5]: https://i.sstatic.net/UA33km.png "Click photo for full size"
  [12]: https://i.sstatic.net/UA33k.png
  [6]: https://i.sstatic.net/E66b7m.png "Click photo for full size"
  [13]: https://i.sstatic.net/E66b7.png
  [7]: https://i.sstatic.net/h4txY.png