Fruitowl makes a very good point there. If you absolutely set on the teme then at least take a rope with you and use it...
I've only fished the teme a couple of times, but i would think it has come up massively in the last couple of days. Would have thought that the avon has dealt with the recent rain a little bit better, so that might be the better bet. Personally, whilst i'd always want to fish a river with some flow and colour, i do find that fishing the peak of the rise can be grueling. Others may feel different?