Shyvana should leverage her very high clear speed to outpace Nunu & Willump and secure early dragon control.
Avoid early isolated river fights where Nunu's (W) and CC chain can punish Shyvana's medium dueling power.
Prioritize scaling through power farming and form-based teamfights to outscale Nunu's utility and mid-game pressure.
Jungle Plan
Use fast clear speed to trade camps and force cross-map objective fights when lanes have priority.
Prioritize dragon setups when bot and mid lanes can pressure, denying Nunu & Willump's early objective starts.
Track Nunu's gank paths from fog and be ready to counter-gank or invade his opposite side jungle camps after successful ganks.
Danger windows
Respect Nunu's early gank threat from (W) snowball engages, especially in fog-covered river entrances.
Avoid isolated river fights before Shyvana has fury or dragon-form as Nunu's CC and sustain outmatch early dueling.
Be cautious contesting objectives when Nunu has lane priority or has started dragon/Herald with (Q) and Smite ready.
Early game
Start with a full clear to hit dragon-form and item spikes faster than Nunu & Willump.
Contest first Scuttle only if nearby lanes have priority to avoid Nunu's early gank threat from fog angles.
Avoid early invades before hitting fury or form power spikes; focus on clean clears and tracking Nunu's pathing for counter-ganks.
Power spikes
Shyvana's first dragon-form and item completion spike enables stronger dueling and objective control; use this to force fights.
Nunu & Willump's first dragon or Herald spawn with (Q) plus Smite boosts his objective secure; convert successful ganks into immediate contest or steals.
Nunu's level 6 (R) adds zone control; avoid fighting in his ultimate's area unless you have numbers or CC to interrupt.
Win conditions
Convert Shyvana's superior clear speed and form power spikes into consistent dragon control and objective trades.
Use vision and lane priority to deny Nunu & Willump's fog gank angles and punish his early objective attempts.
Leverage dragon-form teamfights mid-game to overpower Nunu's utility and secure map control and scaling advantage.
Tip: For Shyvana vs Nunu & Willump, read overview, trading pattern, and danger windows first for a fast Jungle lane check.