Twitter – Can’t delete the tweets!

I'm having the exact same problem - goes through the approval process fine, but nothing appears on the page. As you say, profile is working fine, just pages. I tried different accounts and browsers, as well as a few tricks, same result. I can only assume it's a bug as the whole Twitter Facebook thing has been shifty this month. One workaround is to use the facebook app Selective Tweets. This will post to pages; however unlike the native twitter app, each tweet you want to go to the facebook page you must end with #fb, hence the whole "Selective" thing. But at least they show up (and the #fb tag won't show on the page).

Well I think the tweets that are listed (in case of the ones of celebrities) doesn't have any particular order.

Taking this tweet as an example I think notice that most tweets that are listed either are:

1. Having a huge conversation related with them i.e many other users reply to that tweet and it's a talk(which may be off topic).
2. Have been retweeted (not always the case).
3. User who tweeted has many followers.

These were the general trends I observed in this tweet. The listing by Twitter in most cases might be in fact completely random (no concrete way of knowing).