If you are cornered, most of the time it’s just better to block, wait for the opponent to be pushed back far enough by his string, and be ready to either AA or stop a dash in when they inevitably try to maintain pressure.
About throws, don’t worry about them. Concentrate on landing a combo on your opponent. A single combo is worth 2-3 throws so your opponent is losing in the damage differential if he’s just throwing you and you stay calm and take back control. That said, if your opponent is always going for throws and doesn’t shimmy, you can late tech, that is, you throw a bit later so that if the opponent throws you, you tech it, but if he tries to hit you, you block it and your throw input doesn’t do anything because you’re in block stun.