Against shyvana, Shyvana will look for aggressive plays and aggressive trades early. Keep this in mind.

Avoid pushing the wave constantly. Shyvana has great all-in and chase potential. Keeping the wave closer to your side of the map will reduce her chances of running you down the lane.

If you see that Shyvana has her Ultimate t, avoid over-committing to all-ins as she could just escape. For instance, don’t Flash for her unless her Ultimate t is down. Against shyvana, Shyvana will look for aggressive pieces and aggressive jobs early. Keep this in mind. Avoid pushing the wave constantly. Shyvana has great potential all-in and hunting. Keeping the wave closer to your side of the map will reduce her chances of running in the way. If you see that Shyvana has its Ultimate t, avoid all-in over-commitments as she might just escape. For example, don't Flash for her unless her Ultimate t is down.