It is known to all followers of Sanatan Dharma that Lord Hanuman is a Vaishnava (eternal servitor or servant or a devotee of Rama or Vishnu). To worship a Vaishnava does not fit one to eat non-veg. A strict brahmachari is vegetarian by nature and again does not fit one to be non-veg.
As far as the worship is concerned, you may worship Him on fasting days or
those you are not eating non-veg. But even after having eaten non-veg, you may
think of Him. But do not recite the Hanuman Chalisa at any cost and it invokes
Him personally, which is not right after having eaten non-veg. In many
religions meat was even offered to Gods in temples.
Only later on the brahmans in India
formed a committee and made it as a law not to offer meat to Gods. Later they
too refused to eat meat to look superior caste than others. About Hanuman,
He is considered as a helping God, and since he was a Monkey God, he was
considered a vegetarian. Since we are not Veggie and neither is we Monkey gods,
we can worship Hanuman even after consuming meat or fish.
