Minecraft version: 1.7.10
FML version: v7.10.99.99
Forge version: 10.13.4.1614

As you can see it from the pic.

So~~ How can I solve it by myself? Can I do that? If not, could it be fixed?

I don't know. Finder Compass, in that version, overwrites the compass item renderer. Mind you, the same class does inventory- and inhand-rendering, so why one would work but not the other...

The only assumption i can offer is that you have some other mod which maybe overrides the entire GUI and/or handheld items.

Yes, I do have a texture pack which overrides the entire GUI.

But I really like the current texture pack I'm using. Is there a way to set the priority of compass rendering from the mod over the texture pack's rendering?

Texture packs would not cause this phenomenon. It really would have to be another mod doing its own rendering. For instance, the minimap mod visible.

I disabled the minimap mod. But it still doesn't show up. I really couldn't know which one is causing the issue. So, if I can't set the rendering priority, I will close this issue first.