It is purely guesswork, but both AUTO ACHIEVE and VIKING CONSTANZA are good bets.
VIKING CONSTANZA is known to have carried Teslas to Esbjerg previously and AUTO ACHIEVE has Zeebrugge, Drammen, Gothenburg, Malmo and Esbjerg as by a large margin the most frequent ports.
VIKING CONSTANZA is listed on Esbjerg ports website, to arrive on the 5th of June from Zeebrugge, though she is known to route to first Drammen, then Gothenburg and then Esbjerg. A trip that seems to take about 7 days, meaning for a arrival on 5th of June, we're talking departure around the 29th of May.
AUTO ACHIEVE is slated to arrive in Esbjerg on May 31st, but no info on from where. She is currently heading to Gothenburg, which is also a shipping port for Volvo and their V60, XC60, V90 and XC90 cars. So depending on how long she stays in Gothenburg, she could be carrying Volvos to Esbjerg, though a more likely scenario would have her go Gothenburg to Zeebrugge and any Volvos slated for Denmark, would just stay on the ship, as she loads and sails to Esbjerg.
Hence, based on guesswork. Both are good options. But at this point, probably only Tesla, or maybe not even, knows the answers