An entertaining opening period ended badly for Chelsea, as Hudson-Odoi was forced off and N'Golo Kante was then withdrawn with a knock to his ribs at half-time.
While Kante's problem is not thought to be major, it seems the same cannot be said for the 18 year-old.
Although scans are required to discover the full extent of the injury, Hudson-Odoi - who was seen leaving Stamford Bridge on crutches with his right foot in a protective boot - wrote on his official Twitter account that his season is over.
Assistant manager Gianfranco Zola – taking the place of Maurizio Sarri for post-match media duties after the manager was removed from the dugout for dissent in stoppage-time – also believes the injury is serious.
"It's not an easy one," Zola said in a news conference. "I think it's a serious injury.
"It's his Achilles tendon. I cannot tell you the extent of it. I don't know – he'll have to have an examination, but it's not looking good. I don't know if it's ruptured.
"N'Golo was taken down on the counter and, as he fell, he fell on the foot of a player, so he had a contusion in his ribs. He couldn't breathe totally. He'll be alright."
Hudson-Odoi will likely miss the rest of Chelsea's battle to finish in Premier League's top four and their Europa League campaign, with Sarri's men set to face Eintracht Frankfurt in the semi-finals next week.
The England international is also expected to be out for the Nations League Finals, which take place in June.