Hi Katerj.
I think you need to decide what you want to do and then make a plan.
If you really cannot stand the idea of her being upset and it feels 'wrong' to you, then don't do it and organise your life so this is not necessary.
However, if it is important to you that you have sometime away to do other things like the course you are on, then you will need to have a plan and accept some crying will be involved.
In the Creche , I would say she needs some reassurance that you are coming back, and then gradually over time as she accpets this she can then begin to feel comfortable and enjoy the new environment.
I would try a controlled crying approach to the creche, by which I mean gradually lenghtning the periods of separation. Start with a short time, maybe even two minutes, for a day or two, then increase to 5 then ten minutes etc. this may sound like a slow process, but actually within a couple of weeks she will probaly be feeling more secure. You can take bigger leaps of time after a while, say 15/25mins.
I would also suggest, that you do this reguarly over consecutive days, which would mean going to the centre on the days when your course was not on if possible.
You may well find though, that even after all this she will still cry when left, but the amount of time will be gradually reduced, until it's just at that 'I stop crying as soonas Mummy has left the room'type.
Also, you could try spending some time with her yourself in the creche, so that the faces and the environemt are also familiar, before you start to try leaving for short periods.
Hope any of this helps