The invitation is to stop, not to try harder
Jesus addresses himself specifically to people who are labouring and loaded down, and what he offers them first is rest. The image that follows is a yoke described as easy and a burden described as light - which only means something as a contrast. It is set against a load that is neither.
That is worth sitting with if you have been treating collapse as devotion. Nothing in that passage asks the weary to prove themselves by carrying more. The offer is a different way of carrying life, and it is explicitly described as gentle.
Elsewhere the pattern holds: God is described as near to the broken-hearted, not as waiting for them to recover before he takes an interest. The consistent posture toward depleted people in these texts is not rebuke.
Resentment is usually information
Resentment does not automatically mean you are selfish or a bad son, daughter, sibling, or parent. More often it is a signal that the arrangement has become lopsided - that being reliable has hardened into an expectation nobody re-examines, including you.
Paul writes about bearing one another's burdens, and a few lines later about each person carrying their own load. Both are in the same passage. Mutual help is assumed; permanent one-way transfer is not. A family where one person absorbs every crisis is not the arrangement being described.
Naming the resentment accurately usually helps more than trying to feel differently about it. "I resent being the only one who calls the doctor" is specific enough to do something about. "I'm a bad person" is not.
A boundary is not revenge
Handing back a responsibility is not abandonment, and letting another adult meet a consequence is not cruelty. Those two ideas get conflated constantly, often by the people who benefit from the current arrangement.
You can love your family without being permanently available, without absorbing every emergency, and without rescuing people from things they are capable of handling. Declining a task is not the same as declining the relationship.
Expect the discomfort. It usually arrives, and it usually gets read as evidence you did something wrong. It generally is not. It is what change feels like in a system that had settled around you doing it all - and it tends to be loudest right before the arrangement actually shifts.
One honest next step
Pick one thing you routinely take over, and hand it back in plain words this week: "I'm not able to do this one. You'll need to arrange it." One task, stated once, without a case for why you deserve it.
Say it before you feel calm. Waiting until the resentment has passed usually means waiting forever, because the resentment is being fed by the thing you are waiting to stop.
If the exhaustion has moved into your sleep, your health, or your ability to function - or if the person you are caring for genuinely cannot manage alone - that needs real support, not just a boundary. A doctor, a carer's assessment, or a social worker is the appropriate next call. Scripture's picture of a community sharing weight assumes there is a community. Assembling one is practical work.