First: trust your priest.
Second, by way of explanation:
Canon 1245 allows a pastor to dispense from the obligations of observing a feast day. More narrowly, a pastor can dispense from the obligation to attend Sunday Mass (for a just cause, etc. etc.)
A pastor can dispense from the obligation to attend Mass.
Since he can dispense from the whole Mass, he can likewise dispense from any part-of-the-whole.
The Eucharistic fast is a part-of-the-whole of Mass.
Therefore he can dispense from the 1-hour fast.
Additionally, many bishops expressly delegate to pastors, or even to all priests, the specific faculties to dispense from the Eucharistic fast. While there’s no guarantee that every bishop does this, it is a rather common clause in the
Pagella of Faculties given to priests by their bishops.
I notice that you’re in the Houston area.
The Archdiocese of Galveston-Houston is kind enough to make their policies for the Diaconate available online.
The Ordinary has given deacons the faculty to dispense from the Eucharistic fast.
While this is not a given, it does stand to reason that if he has given such faculties to deacons, it is very likely that he has also given such faculties to priests. I repeat: not a given, but very likely.
E. Dispensations: A deacon may dispense in individual cases and for a just
reason from days of precept and penance or commuting these obligations to
other pious works and dispensing from Eucharistic abstinence for parishioners
and those visiting within the boundaries of the parish to which he is assigned.
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gwdupont.com/Forms/DeaconHandbookFinalrevisedAugust2008v2.pdf