Good question. My suggestion is that it depends on what you mean by "unconscious". The (now) classic debate between Zajonc and Lazarus (on the relation between cognition and emotion) essentially boiled down to a definitional consideration. Specifically, Lazarus argued that a stimulus must be "processed" in some way for the evaluation of meaning and thus emotion to occur. Zajonc disagreed, suggesting that Lazarus' implicit definition of cognition was so broad that it included perception. The Lazarian view has come to dominate with the basic view being that stimuli are evaluated/appraised for meaning and that it is this process that generates each emotion.

Returning to your question, this view (i.e., emotions are arising from perceived change in the status of goals) does not require that appraisal or the goals are conscious in either the Freudian or the cognitive sense of the term. Indeed, it is assumed that most appraisal processes will be automatic and that a significant number of the goals (AKA your emotional triggers) will be also.

Good answer too! Thank you.

 Yes, emotional responses can be triggered by unconscious processes. There are several research lines showing it:

1.  Emotional responses can be triggered by images that are exposed subliminally. A classic study: http://www.erin.utoronto.ca/~w3psyuli/SubliminalPerception.pdf

2. Individuals can associate a neutral stimulus with an affective response, even though they are not aware of the association (evaluative conditioning). See here: https://www.researchgate.net/publication/12561900_I_Like_It_but_I'm_Not_Sure_Why_Can_Evaluative_Conditioning_Occur_without_Conscious_Awareness

3. We are able to learn unconsciously complex and abstract rules that associate neutral stimuli with emotional contents https://www.researchgate.net/publication/286529358_Unconscious_Learning_of_Cognitive_Structures_with_Emotional_Components_Implications_for_Cognitive_Behavior_Psychotherapies

Article I Like It, but I'm Not Sure Why: Can Evaluative Conditioning...

Article Unconscious Learning of Cognitive Structures with Emotional ...

"Unconscious" is charged with psychoanalytic history where the processes are governed by underlying psychological and physical drives. All emotions have a drive component that motivate us to behave in particular way. For example when we are angry, our attention (visual and cognitive) narrows, blood flows more to the arms and chest, muscles get tense, all as if to prime behaviours to attack some threat. On the other hand, fear widens focal attention in favour of peripheral attention, blood flows more to the legs, arms instinctively hug the body as if to protect the vital organs. There is a drive-based motivational component to felt emotions even if we are non-consciously aware of it.

"Non-conscious" has no linking to psychoanalytic theory and does not have an assumed drive component to it. Non-conscious merely refers to information that operates and is cognitively processed outside of our cognitive awareness. Considering that our emotions are embodied phenomenon, many emotional states do not have to be consciously processed. We may not realise what emotion we were feeling until our emotional state changes or until we reflect back on the situation. In fact, we identify our own emotional states in a very similar process to how we identify emotional states in others. Accordingly, we can misidentify our own emotions in the same way that we can misidentify other's emotional states. This does not mean that our emotional states have no effect on our reactions to the environment (i.e. triggers). People will naturally respond more to emotional triggers if they are feeling a congruent emotion, even if they are non-consciously aware of the emotional state.

Thank you very much!

Yes, they can. I'm thinking about experiments that involve emotional primes, shown for just a few milliseconds, that yield changes in behaviour. Also, studies that employ binocular rivalry, where you manage to show emotional stimuli and see changes in how fast people report such stimuli breaking though the masking effect. I think this is even more patent in clinical populations, where all the "natural" biases people have toward different kinds of stimuli become altered or impaired.