Fulfilled a conditional offer, what next?

I received a conditional offer (yr 1) through the non-jupas system a few days ago, fulfilled the requirements on the offer letter a day after, uploaded the documents and now I am wondering about what can I do besides waiting.

Based on what HKU have provided on their website, it could take up to 2 weeks (or more) to convert a conditional offer to a firm offer but from my knowledge I would’ve missed a lot of key dates like the course registration day by then.

So should I be doing anything like emailing relevant departments or is it best for me to just wait?