Can you take indomethacin,hydrocodone,and diabetic medicine?

First and foremost call her physician and ask what medications can be taken together, side effects, and toxcicity. Second, allprescriptions come with a patient info label (the information page attached to every prescription), read this and you will now right away about the prescribed medication interactions with other medications she is already on. Third, call the pharmcay who filled these medications and ask the pharmacist these concerns of interactions.

Diabetes insulin/pills--are for blood sugar levels
High Blood Pressure meds--are for high blood pressure caused either from the lungs/kidneys, function to keep blood pressure lowered. It will be a angio-tension, or inhibitor type medication
Indomethacin--used for gout flair ups, pain etc.
Hydrocodone--pain--- which this also contains either acetometophene or tylenol
Best bet is call the pharmacy right away to feel better knowing she can take all these meds together.

You haven't named her diabetic medicines in your post so I can not check for you.
You can check to see if there are any drug interactions between her medicines on this site.
Here is the link.
https://www.drugs.com/drug_interactions.html