Yes zero rise or less would have been great. A rise of 0.01 is a bit in between. If it had been zero it would have broken the chain that would enable treatment, i.e. 3 consecutive rises above 0.1. That is if you're now feeling uncomfortable about whether you want/need early treatment.
It could be that you wait the 6 months and go with the flow, or ask to see the oncologist at 6 months. Another option is to ask for an earlier 3 month psa test and then ask to see the oncologist or to ask to see the oncologist at an appointment in 3 months.
Although your psa is a bit erratic and it could be that you'll get no increase and lose the consecutive rises at 3 months whereas at 6 months if it's really rising there should be a rise. If you get 3 rises out of 4 that must count.
Trying to think what I'd do and I guess I'd be glad it wasn't rising faster but thinking ahead wanting to be ready. I guess the best treatment is to act as soon as possible so asking for a 3 month psa test and seeing the oncologist at the next appointment sounds a positive option unless you feel you could persuade an oncologist to take action on existing results which might be a bit optimistic. It's hard to put myself exactly in the position although it's something that could happen to many of us. Let us know your decision. All the best, Peter