'In that two weeks I got back into exercise properly and then two weeks later I felt like someone had taken my batteries out.'
No, someone hadn't taken your batteries out, but the exercise had wiped out your T3. And it's low T3 that causes symptoms. And, on just 25 mcg levo, it will take forever to get your T3 level back up again to what it was before - and even that was too low. You should not have started exercising until your FT3 was optimal.
So, if you can't get your doctor to increase your dose - and she really is supper cautious/nervous, because she should have started you on 50 mcg, anyway - then you are going to have to take it extra easy until you get to see the endo in July.
It doesn't matter what your bloods were in the beginning, when it comes to increasing the dose, what counts is what your bloods are now. And your TSH is still too high. You couldn't expect to feel good on the tiny dose of 25 mcg for more than a couple of weeks, because it's not enough.
As for 'sending you over', whatever does she imagine? These doctors have such strange ideas. Taking levo cannot make you hyper, no matter how much you take, because your gland is under-active, and cannot become over-active, it's a physical impossibility. You could, of course, be over-medicated, but so what. That's not a catastrophe, and is better than suffering the symptoms of hypo for the next three months. If you are over-medicated, all you have to do is lower the dose, no harm done. But, it is highly unlikely that you will become over-medicated with an increase of 25 mcg - which is all you should increase by, anyway. I think you should persist in trying to persuade your doctor to increase your dose now, and not wait for the endo - you'll probably need another increase when you see him, anyway! And, lay off the exercise, OK?