Intersect, and refer to column by name

Simply test the sSite variable:

if(sSite <> vbNullString) Then
    ThisWorkbook.FollowHyperlink sSite
End If

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PS:
Do you really need the Selection and ActiveCell objects ?
Be warned that they are major source of troubles.

1. Only the Site column may be empty; never sSite.
2. My second question asks how can I avoid the Selection. For the ActiveCell, how else should I refer to it?

What is the code meant to do?

The Variable column contains either a whole or part of a hyperlink; the adjacent Site column (if not empty for the active row) refers to another table for the other part of the hyperlink.

1. The intersect means the code can only be activated if the Variable column is selected. I also want to prevent the code from being activated if no Site is specified for the active row (because it is a whole hyperlink).
2. Instead of the Selection I want to refer to the Site column by name in the way that I have used names for the ranges. This will save me having to update the code when the table structure changes.

A Variable column ???
How are we supposed to understand that ? A column that can be anywhere ?

I still don't understand !!
Upload a sample workbook, and explain from the beginning (not just the part you attempt to solve).

The column is named Variable; hence

tb.ListColumns("Variable").DataBodyRange

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.

Upload a sample workbook, and explain from the beginning (not just the part you attempt to solve).

For now, the little chunk of code you provided isn't enough to offer a solution.
There are other things involved, but you didn't told us about it.