Ok, so the Water Company will need to be told. First step is to contact them and someone will come out for a look.
Depending on the circumstances, they may offer two choices. The first is to divert. They will usually carry out this work themselves, and bill you. They'll give you a quote.
They may allow overbuilding. It's at their discretion entirely. In this case, they probably send a camera down the line to check that everything's Ok with the sewer.
Siting inspection chambers at the entrance and exit of the run under the building would deal with access for cleaning etc. Bear in mind though, that, in the most unlikely event that the drain collapses and needs replacing, then it is possible they may have to do this even if demolition is needed.
I'm just thinking out loud now, but a technical solution may be possible. To lay cables etc across a road, they are often laid in a duct. Cables can then be drawn out and replaced without digging the road up.
I'm wondering if something along those lines could be used here. Maybe excavate the run under the extension, and lay in a plastic duct. This could be a 225mm plastic drain pipe. A new piece of 100mm pipe could easily be run inside this. To replace it would simply involve drawing it back out and poking a new one inside it.
Technically, anything is possible, but it's their decision. Before you commit, get their advice and their quote.