I know this is an old post but I wanted to add to the convo.
I think L glutamine cancause acne- Ive seen some info that says it increases growth hormone and Igf 1, hormones that can cause sebum production. I think growth hormone or igf 1 can even raise androgen levels some what.
Glutamine is the precursor for Glutamate and GABA. Both of these neurotransmitters play a major role in regulating your neural activity levels. Glutamate as the brains primary excitatory neurotransmitter speeds up neural signalling, but too much of it can damage neuron cells. GABA is the brains primary inhibitory neurotransmitter and slows things down, helping you to relax.
Exercising should not impact your Glutamine levels. When you exercise, more Glutamine is converted into Glutamate. When you rest after exercise, more Glutamine is converted into GABA. But both GABA and Glutamate are recycled back into Glutamine again, ready to be reused when required.