You should take this site, and similar, with a little pinch of salt. It's rather like a satnav - it requires the operator to use a little bit of common sense
You will have a junction box not too far away, you certainly won't be connected directly to the exchange (if that's what you mean). And the distance from the exchange is no longer a factor.
Your local exchange may be 'accepting orders' but this is BT-speak for saying that the exchange has been upgraded and Openreach are rolling out the street cabinets. Once you see one of the new cabinets within a street or two then you can check again and you will probably find you can then place an order.
One of my customers is on the edge of a large exchange area and was suffering just 2mbps - until she upgraded to fibre and now has 62 mbps
Don't forget that once you see a street cabinet nearby, the chances are that other suppliers will be able to provide FTTC. If they (possibly your current supplier) provide LLU from your local exchange then the chances are very good that they will also be able to provide FTTC. And cheaper than BT