PSA: Taliyah is not a strong support.
Think of Taliyah like Nunu, both contribute a lot to their team and have numerous supportive aspects but they aren't very strong full out supports. They both require gold to be effective and because they don't have the same level of utility or strong base damages as other champions that go into support role. Unless you feel very confident in your ability to harass the enemy champions out of lane as Taliyah support, or to secure kills with a full AP build then I recommend not playing it. You often provide little peel for adc early game and not enough hard CC. By mid-game unless you built a significant advantage you won't have high damage output and will pretty much be gated by your Weaver's Wall and Seismic Shove cooldown.
And yes. I get tilted everytime I see Taliyah support, if it's on the enemy team I've been able to punish it severely and basically make the game a 5v3 cause the enemy bot lane just falls way too far behind. If it's on my team I try my best to play around it but often it just doesn't work out, especially if you don't have a champion that can really compliment the playstyle whilst ignoring the other enemy champion in lane.
or
man I use to main
and went 4-9-15 and won game