There's no reason to feel ashamed to say you're good. Bruce Lee said "If I tell you I'm good you'll think I'm bragging. But if I say I'm no good you'll know I'm lying".
Anyway against a push kick there's a really simple defense: step back using your front foot so that it lands further back than your back foot (so if your left side was forward your right side should now be forward), don't just shuffle your rear foot back, because stepping back with the front is the fastest way to gain enough distance to make the kick unable to push you. This also has the effect of turning your torso, so that if you're unable to block the kick sufficiently with your hands it should roll off your torso more. And as you step back, rest your glove underneath his foot for a split second while his foot's still in the air; this slows him down and prevents any immediate follow-up move. Immediately after stepping back, step forward again with your own attack, by stepping to the side of his leg as he drops it (to the right of it if you stepped back with your left leg).