Hello and welcome!
Shamans are a bit rough at the lower levels without any gear.
A few tricks:
1. Use Inner Fire for healing instead of your healing spell, it is more mana efficient.
2. Melee the mobs in addition to whatever else you are doing for more DPS.
3. Buy
https://wiki.project1999.com/Burst_of_Flame if you are having trouble hitting with melee. It's not a good spell, but at least it is guaranteed damage when you are getting into a tight spot. I would advise trying to melee and inner fire heal first, then use burst of flame if you are still losing. You can also try spamming burst of flame if that works better for you, you will just need to sit and regain mana more often.
4.
https://wiki.project1999.com/Tribunal_Symbol_Quests - You can do this quest for a slightly better melee weapon if you can make it through Blackburrow. You can just bank all your items and try to run through, so if you die you lose nothing.
5. Make sure to /con the mobs. If they are white, they are your level. If they are yellow, they are 1 or 2 levels higher than you. If they are red, they are 2+ levels higher than you. If they are blue or green, they are below your level. Try to fight mobs that are white or blue. You can fight green mobs, but they may not give xp anymore.