Successfully conveying information about the risk of potential threats to an individual’s physical and mental health is a serious challenge for healthcare practitioners. Adding to the challenge is the role of individual differences in people’s tendencies to want to learn (or in their choice to passively avoid) new information. These characteristic motives can be both curious and incurious in nature and interact with the perceived locus of the relevant health threat, which must be taken into account first. Some health threats are relatively “external,” and involve addressing the potential risk of an undesired event (e.g., developing illness, encountering relationship troubles). Research indicates that individuals who view external threats as “controllable” are more likely to respond positively to relevant information, but perception of control alone does not determine whether health-relevant information is likely to be sought or acted on. Besides perceived controllability, individual differences in incurious worry reduction motives (IWRM) play an important role as well. Two different kinds of IWRM have been identified: focus on distress (IWRM-FD) and focus on relief (IWRM-FR). Dispositional tendencies toward IWRM-FD are associated with greater willingness to seek out information when risk is perceived as low (i.e., information about the potential external threat is expected to make one feel better), but a tendency to passively avoid any information when risk is considered high (i.e., information is expected to intensify distress). In contrast, tendencies toward IWRM-FR reflect wanting more information about potential threats when risk is believed to be high, while passively avoiding news when perceived risk is low. In regard to coping with perceived risk, IWRM-FD scores predict avoidant coping, whereas IWRM-FR levels are associated with proactive coping and seeking others’ advice. Other risks are more “internal,” and involve threats to an individual’s certainty about his or her self-concept, purpose in life, or the wisdom of past behavior; in short, an “identity crisis.” Such threats underlie wondering things like “Who am I, really?” and are associated with less self-awareness, lower self-esteem, and greater overall distress. In response to internal threats, intrapersonal curiosity (InC) motivates individuals to engage in introspective self-exploration that may help them to clarify, to elaborate on, and to improve their understanding of their self-concept. Recent research has found that individual differences in InC are positively associated with IWRM, suggesting that dealing with identity crises involves the desire to better know oneself, as well as wishing to mitigate worries about experiencing self-doubt. Bearing the above in mind, research on individual differences in tendencies to avail oneself of different coping strategies indicates that proactive coping (e.g., positive reframing, seeking advice) tends to result in beneficial outcomes, such as personal growth and improved health, but some proactive strategies are “double-edged” and may lead to some negative outcomes as well. In particular, proactive strategies like acceptance of one’s limitations or discussing them with others when seeking social support were helpful, but they also had the potential to leave individuals feeling less sure of themselves. These findings suggest that practitioners who wish to more effectively communicate information about risk of potential health threats should consider whether the nature of the threat is internal or external, the role of individual differences in IWRM and InC, and how to help their patients to focus on the positive benefits of acceptance (i.e., identify solvable problems) and seeking social support (i.e., acquiring useful advice) over the negative aspects (i.e., admitting limitations).