"The Bishop can appoint and remove ducti and priests"
(MET: Sabbat Guide, p. 163):
This power serves partially as a means of punishing failure and rewarding quality, but primarilly serves as a protection against tyranny on the part of pack leaders. Should a ductus or priest abuse their position in their pack, pack members may petition a bishop to remove the tyrant and officially appoint a candidate of their choosing. For example, if a ductus threatens to kill anyone attempting to leave his pack, the other pack members would have the right to expect the a bishop to dismiss the Ductus (and probably subject him to a contrition rite) and appoint as Ductus a packmate of their choosing.
Naturally, nothing prevents a pack from ignoring this dismissal or appointment if they disagree with it.

"The bishop can appoint templar"
(MET: Sabbat Guide, p. 163):
These templar serve as agents of the bishop, and carry the weight of his voice when he is not present. As such, they must be ultimately trustworthy, or else the bishop may have to keep an eye out for abuses of this power. Many templar serve as bodyguards or enforcers for the bishop, intent on keeping him safe from the threat of assassination. However, an equal number are advisors and specialists, whose military skill or martial prowess rarely, if ever, become a part of their duties.

"The bishop may choose to lead ritae in which she participates; she must choose an appropriate surrogate when she declines"
(MET: Sabbat Guide, p. 163):
As the bishops are spiritual leaders as well as secular ones, it is only right for them to lead the sacred rites of the city's Sabbat. Should a bishop opt to delegate too often, or fail to attend ritae too often, it will reflect badly upon her leadership "and makes a good start for accumulated charges of dereliction of duty."
(MET: Sabbat Guide, p. 164)
Should multiple bishops be in attendance the most senior is generally expected to lead the rite, although some bishopric councils may have a rotation of such responsibilities.

"The bishop leads the packs under her jurisdiction against the Sabbat's enemies. She can delegate some responsibilities to templars, ducti and chosen war leaders, but as with ritae, too much refusal or reassignment undermines her authority."
(MET: Sabbat Guide, p. 164):
As with the ritae this is more of a duty than a privilage: the bishop is responsible for the safety and success of the packs under her jurisdiction, and in the city at large. In times of conflict, a bishop is responsible for both coordinating the war effort and leading the city Sabbat into battle. Naturally, this does not mean that a bishop should charge headlong into battle. Such folly makes an ineffective and short-lived bishop. However, a bishop can be expected to use the talents of all Sabbat under her authority, including herself, to the betterment of the Sect and the destruction of common enemies. A bishop is expected to accept the same level of risk or effort as she would expect of those she commands.

"The bishop can strip a Sabbat member of the Status of Initiated in response to serious violations of the Sabbat's governing code"
(MET: Sabbat Guide, p. 164):
At this point, the individual becomes free game for any and all Sabbat until such time as this ruling is overturned by another bishop or higher ranking Sabbat officer. Naturally, this is a serious action for any bishop to undertake, and should never be undertaken lightly or for selfish reasons. If the individual has not actually violated Sabbat law it will reflect poorly on the bishop in question, and may well serve as grounds for dismissal.
A bishop, after all, is not a Camarillan prince, and may well be ousted and executed for behaving like one.