Yes, Dani Carvajal's injury is indeed serious, even this is a Cruciate ligament tear. He Return expected will be on Jul 1, 2025, indeed this is quite long, until the end of this season he can no longer join the field.
https://www.transfermarkt.com/daniel-carvajal/profil/spieler/138927
Quit long for Dani Carvajal return back after his injury and out until the end of this season, I think have possibility with faster recovery but seems this season have been over for him. Ancelotti will priority for Lucas Vazquez become left defender awhile or Madrid will sign new players at January window transfer opening for replacing Dani Carvajal position.
For awhile, Ancelotti will put Vazquez on left defender or make rotation Eder Militao usually can play on Dani Carvajal position, we know how smart of Ancelotti tactician moving some players to new position.
Hopefully it will be sooner than that, but in any case his injury is so bad that it must be treated as optimally as possible. and this takes quite a long time, healing and recovery after injury also takes time. this is a disaster for every player because they have to rest from the field for months, but this is the risk, sometimes they have avoided it as best they can but no one can avoid it if this really happens.
It seems that Vazquez's position will be at right-back while Miliato focuses on center-back, like Rudiger.
now is playing hte first match of La Liga in this week.
Alaves vs Valladoid Valladoid is leading, the current score 1 - 3
I am sure that this will not chancge again.