definitely, she's the best carry because of her massive (aoe) damage and tank stats, compared to Morde and Nidalee who are both relatively squishy. You don't need to rely on ganks (and thus teammates) to scale well into mid game, and drag'ing at lvl 4 helps your team without needing to gank.
Your ganks aren't bad either, if you manage to flank. Shyvana's incredible damage makes her really scary, but be careful as you are very squishy early game and are vulnerable to being kited. You should probably avoid bot lane unless you have a Leona or Thresh support, early game.
Your dueling is also good, on account of being a juggernaut. Keep in mind that burst is scary, and you won't be able to duel a Rengar without Exhaust, and probably not Kha either.
In teamfights you can either opt for full tank after TItanic Bloodrazor, or even replace Bloodrazor with Cinderhulk (this build has weaker clears and dueling though), or be a diver with Triforce, Bork, Wit's End, Frozen Mallet, and/or Phantom Dancer. Triforce gives high burst and lets you nearly oneshot squishies combined with Titanic. Bork is best for dueling and if you find yourself needing sustain. Wit's End is good if you need to deal with AP. Frozen Mallet if they're getting away too easily but you don't have trouble dueling them (otherwise Bork is better to make sure that you aren't the one running). Phantom Dancer is another kinda niche duelist item, and I'm not too sure when you'd build it - perhaps when you're dueling a squishy against who Bork won't be as effective? It's a cheap item that gives extra mobility, lots of damage, and damage reduction, so I'd probably buy it against a Yasuo who is just a little too tanky for Triforce to burst down, not tanky enough for Bork to melt, and who I have little trouble sticking to without Frozen Mallet (although PD gives stick as well, just not as much).
For tank items, Randuins makes you very tanky with a handy slow in teamfights. Spirit Visage for MR, because duh. A Sunfire Cape or GA is probably the best defensive last item, but generally you'll want Frozen Mallet because at this point, sticking onto an ADC is gonna be very tough (or Triforce to oneshot them, but if they're support can save them past your burst, then it's useless).
Nidalee is really hard to get decent with, with the hardest jungle clear in the game (besides, yunno, jungle Soraka or something). And spears are hard to hit.
Morde is in a really bad spot right now, with lots of bugs too. He's naturally squishy (although with a good heal), and much slower than Shyvana (another juggernaut). His laning top lane is oppressive, though, and he snowballs pretty hard because if you can't kill him before his heal pops, you can't kill him. However, his teamfighting is pretty bad because he's squishy against more than 1 or 2 people. Ghost Dragon is powerful tho.
