I'm sorry there's no English translation but if you read Spanish, find who the judge is married with and you will know everything you need to know about this trial: https://www.voltairenet.org/article210856.html
Interesting information. For summary's sake, looks like this post is talking about Baraitser's boss, Emma Arbuthnot, whose husband happens to be "a well-known "hawk" of the Conservative Party and former Minister of Defense, notoriously linked to the military-industrial complex" also connected to a US think tank. The article makes it clear that many of the conditions of Assange's trial (being kept in a box, unable to communicate etc) were initiated by Arbuthnot, and that Baraitser has simply followed the lead of her boss.
Interesting read - no idea whether any of it is true... but certainly doesn't sound beyond the realm of possibility.
Arbuthnot was the original judge for the case, but there were complaints about her impartiality so she handed it over to her subordinate, Baraitser. I believe it is still the case that Arbuthnot has not recused herself in this matter.
Handing over to another judge is what recusal is, no?
It also should be noted that district judges are independent office holders, and Arbuthnot's position as Chief Magistrate is largely administrative - she doesn't have the power to overrule another magistrate, that power lies with the high court.