Art II.1.3
The President of the Senate shall, in the Presence of the Senate and House of Representatives, open all the Certificates, and the Votes shall then be counted.
the president of the senate presiding? if so, he who has the gavel makes the rules.
note that there are elector judges for the House and Senate. For President, the President of the Senate (VP)(pence) seems to be the only presiding officer mentioned with the power to preside over the count.
if pence does not preside over the count then who does?
The members would just vote to have someone else preside and open the certificates, they do that all the time.
The presiding officer basically just has a ceremonial role...whoever is the presiding officer must open the votes and he has no authority under the Constitution to do anything else...