In a Two-Headed Giant game, life gained by your teammate won't cause Qala's second ability to trigger, even though it caused your team's life total to increase.

Qala's second ability triggers just once for each life-gaining event, whether it's 1 life from Dazzling Angel or 4 life from Apothecary Stomper.

The value of X is calculated only once, as Qala's first ability resolves.

If you gain an amount of life "for each" of something or "equal to the number" of something, that life is gained as one event and Qala's second ability triggers only once.

If Qala is dealt lethal damage at the same time that you gain life, it won't receive a counter from its second ability in time to save it.

Each creature with lifelink dealing combat damage causes a separate life-gaining event. For example, if two creatures you control with lifelink deal combat damage at the same time, Qala's second ability will trigger twice. However, if a single creature you control with lifelink deals combat damage to multiple creatures, players, planeswalkers, and/or battles at the same time (perhaps because it has trample or was blocked by more than one creature), the ability will trigger only once.