Air entering the blood can lead to embolism and pulmonary infarction, which are complications that will occur in a few minutes. There is no problem now, so there will be no sequelae.
The blood will coagulate itself after entering the hose before the tee, and there is no possibility of bacterial infection, but it is best to unplug your indwelling needle and not use it again.
The swelling of the arm may be "slow osmosis", and it will be fine to wet compress it with magnesium sulfate for a few days, which is not directly related to the indwelling needle.
In summary, the landlord can rest assured that there is no problem.