Ugh! What a bummer. I know only too well that horrible sinking feeling as you realise how screwed you are.
Bugzilla is definitely a bit old and creaky, and I'm not a huge fan, but it is pretty powerful. Github's issue tracker is... not powerful. I have a feeling denise would be frustrated by it. It's only got one sort of way to categorise things (tags), and it's hard to do complex searches, and it doesn't really have states other than open/closed. On the other hand, its discussion features are not bad and conversation actually tends to happen there, and the integration with pull requests is nice -- so it's quite good for that side of the process.
There are some third-party issue trackers that can integrate with Github in certain ways. Growstuff uses Pivotal Tracker which would NOT suit you (it's quite specific to a certain agile development methodology with regular iterations, and it's terrible for searching for tickets and stuff), but this shows you the sort of integration that's possible.
If you're interested in looking for good task trackers with github integration, one place to start might be to look at Github's list of supported service hooks. You can find them at https://github.com/blah/blah/settings/hooks (replace blah/blah with the name of your repo). As for which ones are reasonable candidates as task trackers, I don't know, but some of them might be!
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Bugzilla is definitely a bit old and creaky, and I'm not a huge fan, but it is pretty powerful. Github's issue tracker is... not powerful. I have a feeling
There are some third-party issue trackers that can integrate with Github in certain ways. Growstuff uses Pivotal Tracker which would NOT suit you (it's quite specific to a certain agile development methodology with regular iterations, and it's terrible for searching for tickets and stuff), but this shows you the sort of integration that's possible.
If you're interested in looking for good task trackers with github integration, one place to start might be to look at Github's list of supported service hooks. You can find them at https://github.com/blah/blah/settings/hooks (replace blah/blah with the name of your repo). As for which ones are reasonable candidates as task trackers, I don't know, but some of them might be!
Best of luck with it.