Sorry to hear your repair has not turned out as simple as planed
If it was me I think I would try and superglue a stick to it, or possibly try some hot glue
Failing that some original JB weld and stick a match to it, somewhere discreet that can be cut off, would definitely work. Does take 24 hour to set properly though
I mixed some JB weld on a plastic lid and left a match up right in the left over. The following day the match broke before the glue gave way there was only a few mm squared of glue