I recall saying before the first leg that we can't afford to chase the game otherwise Bayern will pick us off at ease. So going behind in the first 25 seconds really didn't help.
There are not enough very good players on the ball and in possession for us, meaning that we were only going to struggle if we were behind to a team like Bayern. They had 8/9 players all very good and comfortable on the ball as well as real attacking threats up front meaning that we couldn't overcommit and press high. We have about 4/5 players who look fairly accomplished in possession (Pirlo, Bonucci, Vucinic, Vidal, Pogba give or take) and at this level in today's modern game that is not enough.
So going behind meant we couldn't do a Chelsea (Last Year CL), sit deep, soak pressure and stay in the game while hoping for a lucky break or a counter which I think looked to be Conte's game plan.
This will hurt the players and the fans due to the apparent gulf in quality but as Conte said it is a building process and although we have quickly scaled to the top of the Serie A, we are still behind the likes Bayern, Barca and Real at the moment.
Kudos to the fans in the stadium, although the last 6 years haven't been the greatest for the club, as a collective we are not used to used to having our asses handed to us but they understood we are in a building process and that this type of defeat isn't the same as the one against Liverpool and Arsenal in 2005 and 2006, where we did have the right to be angry and expect more.