Civil contempt of court is handled under yet another set of laws. And those laws don't appear to have the same presumption of bail that the laws dealing with criminal pre-trial detention.
Which kind of makes sense, it's not the same thing; Criminal trials have bail because it might take months or years of delays for the prosecution and defence to build a case. Here, the court has ordered you directly to jail as a punishment for not following their order; You can leave at any time by complying with the court order.
> "A federal appeals court on Monday denied a request by the former US army intelligence analyst Chelsea Manning to be released from jail on bail..."