The 117th United States Congress began on January 3, 2021. The United States Senate has already voted on a majority leader, Mitch Mcconnell, and Republican committee leaders.
Frankly, if they wanted to play hardball, Republicans could refuse to have a vote to cede Leader Mcconnell’s position as majority leader. A vote is only scheduled once at the beginning of each term, which has already occurred.
If that really wanted to play hardball, the Republican Senate majority could even refuse to seat the newly elected Senator(s) from Georgia.