If Tom Wambsgans plays his cards right, he could be Waystar RoyCo's next CEO. Logan trusts Tom enough to include him in his inner circle (he invites him to fly on his private jet). A Reddit user also suspects Tom will turn against Shiv at some point, especially after she told him she wanted an open marriage on their wedding night. There's not much tying them together now. Perhaps down the line, he will throw her under the bus to get a leg up?
Tom's Odds: Low
Another Reddit user thinks that the season 3 promo teases Tom switching from Logan's side to Kendall's. If you take a look at the season three posters, a line divides Kendall, Tom, and Greg on one side with Logan, Shiv, Roman, and Connor on the other. The show's creators could be foreshadowing a major betrayal. In the poster, Kendall is still right at the front, leading the charge. With his big ambitions, it doesn't seem likely Kendall would give Tom the CEO title without a fight.
Image Source: HBO / Macall B. Polay