Is it Constitutional for a District Court Judge to Hold an accused in an alleged criminal proceedings indefinitely in detention without TRIAL when the accused has pleaded NOT Guilty?

QUESTION(S) PRESENTED 1). Is it Constitutional for a District Court Judge to Hold an accused in an alleged criminal s proceedings indefinitely in detention without TRIAL when the accused has pleaded NOT Guilty? : 2). Can any accused have a direct appeal of right without a TRIAL or the accused pleading guilty to the said allegation? 3). Does the U.S Constitution permits a District Court Judge to knowingly impose a sham Counsel for the defendant just to aid the unconstitutionality action of a bias court? OR , Does the professional conduct code permits any appointed counsel who is in conflict with the ns client to openly act like a prosecuting counsel against the said client?