That is a nice pen, and nice photo. I especially like the rim light on the back edge.
If I may, I do agree that the reflection is a bit much. The way you lit it, if you remove the glass you should still get a similar shaped reflection in the wood grain surface though most like it would be more diffuse, distorted, and subtler.
If you wanted to tone down the reflection but keep the glass you could experiment with a polarizing filter and experiment with lighting angles. A polarizer might tone it down to a less distracting but still interesting state.
I'd also consider leaving a bit more space around the edges. Give the pen some compositional breathing room. It will appear a slight bit smaller but will draw the eye more effectively into the composition.
The difference between a good and a great photo often comprises a handful of minor adjustments that bring it all together to a universal appeal.
Good luck!