Direct connection, as in herpes is somehow responsible for your tonsillitis. No.
Indirect connection, possibly. It is my general observation (and that of several other people around here)that when you start to battle a couple of illnesses your immune system essentially takes a good kicking and dips and you become somewhat compromised. It really doesn't matter what the illness is that starts it (the flu, pneumonia, norovirus, major surgery, initial herpes infection, etc.), but the next thing you know other things start to flare up.
Tonsillitis is a bacterial infection of your tonsils. Tonsils, in case you are wondering, are essentially a part of your immune system that catches and traps bacteria before it can spread to your body so at any age they can become infected--most common in kids, but lots of adult wind up getting their tonsils pulled out in bad cases.
Herpes itself does not cause tonsillitis. You may have had a relatively silent case of tonsilitis, but things may have flared up if your immune system was feeling run down.
Hoe eet jy 'n olifant? Bietjie vir bietjie.
(Translation from Afrikans: How do you eat an elephant? Bit by bit.)