Hyperlink in Tkinter Text widget?

If you don't want to use a text widget, you don't need to. An alternative is to use a label and bind mouse clicks to it. Even though it's a label it still responds to events.

For example:

import tkinter as tk

class App:
    def __init__(self, root):
        self.root = root
        for text in ("link1", "link2", "link3"):
            link = tk.Label(text=text, foreground="#0000ff")
            link.bind("<1>", lambda event, text=text: self.click_link(event, text))
            link.pack()

    def click_link(self, event, text):
        print("You clicked '%s'" % text)

root = tk.Tk()
app = App(root)
root.mainloop()

If you want, you can get fancy and add additional bindings for <Enter> and <Leave> events so you can alter the look when the user hovers. And, of course, you can change the font so that the text is underlined if you so choose.

Tk is a wonderful toolkit that gives you the building blocks to do just about whatever you want. You just need to look at the widgets not as a set of pre-made walls and doors but more like a pile of lumbar, bricks and mortar.