Other than the fact that you could possibly be losing hard enough that Renek would just 2v1 you two.
Shyvanas power spike depends on few things int's not just 6.
First she must have over .85 atkspd to deal decent damage or 2 daggers +.
If AD/bruiser. It's generally better when you have chilling smite and know where the enemy is and hit level 7 for the W as it gains very effective damage compared to previous levels and 9 is too far away.
AP Shyvana wants her first jungle item before ganking the spike is huge. She does not want to skirmish until Level 9 + 40% CDR.
So With a Shyvana you have to wait longer but the power spike is bigger than most champions, unfortunately 99% of league players are not nearly patient enough to wait and demand ganks/take her farm. All this does is slow down Shyvana as he Nashors/Boots spike grants her a 4 sec 900 DPS nuke. Which can win games, but who cares about that am I right ? Safe play is for losers.
On a more serious note if you are getting ganked or dove a lot Ward river opening or tri bush. If you are too low to contest go back to T2 and leave th tower to take damage. After being dove once, you are probably in a situation that you can always get dove. Always keep your hp high and never fight or trade soak EXP and gold that you can, never take a CS that is in range of renekton or whoever.
You don't have to win your lane to win the game, you just need to not allow them to carry them game by you becoming useless and him able to 1v4.