If you are going to connect this to a full wave center tap rectifier (2 diodes total), each transformer will have pulsating DC rather than AC in the secondary and if the current is high enough, there could be core saturation. But, if you are going to use the full wave bridge with center tap to get balanced + and - rails, then there will be no problem.
To get around the core saturation issue, each transformer can be connected to its own full wave bridge, then the 2 DC supplies connected in series.