How old is it?
If you fermented it down until it stopped then bottled it and tasted it as soon as it cleared then you'll get something pretty rank.
Cider needs time, lots of time, lots and lots of time to turn into something nice. If you're lucky you'll even get a malolactic fermentation happening which will turn it into something like the very best from thatchers or westons.
I've only made one batch so far. 23l of cheapo apple juice, 5 tsp pectolase, 5 tsp tannin, 5 tsp malic acid and a packet of youngs cider yeast. About three weeks in primary and three months in a secondary under airlock. Was bottled in late May and it was pretty good and it's been getting steadily better from there.
The key things are:
- tannin (which you'll have got from the tea) - maybe try just a pure wine tannin for less tea flavour?
- pectolase which seems to have done its job if it's nice and clear
- malic acid, juice apples are generally too sweet for punchy cider, malic acid gives more tangy kick and more for lactobacilus to work on if you can get it going
- time, time allows the yeast to remove some partial fermentation by-products. It also allows, if the lactobacillus bacterium has got in, time for the malolactic fermentation which converts the malic acid to lactic acid which is far less "acid" to the taste and also results in some weird esters which give you that vintage cider buttery taste and feel. Even if you don't get a malolactic fermentation, time lets your cider "just get better".
- Bulk aging. Where beer and wine will happy condition or age in the bottle, the bigger the volume with cider the better. Don't ask me why because I don't know but that's the way westons and thatchers have been doing it for decades or centuries and I can't argue with that...
Anyway, all that aside, when you say "bad" can you describe "bad"? What does "bad" remind you of?