Euroa Health CEO Cherree Hunter said the past week had been "disappointing" and urged the community to support current restrictions in place to keep the GraniteHill visitor program running.
"The person came out of what we consider a restricted zone and unfortunately breached all of the requirements by travelling more than 5 km from home and visiting an aged care facility where people are more vulnerable," Ms Hunter said.
"When they were questioned, they told us they didn't realise they were doing the wrong thing but there was a fair level of clarity."
Ms Hunter said the resident who came into direct contact with the visitor has now had to enter 14 days of full isolation.
"That's really tough," she said.
Ms Hunter said the family member wasn't the only person to have breached strict control settings in place across Euroa Health since the most recent Delta outbreak began.
"We have people sign a contract of visitation - we assess risk and they go through a process of complying with basic rules: Never take off mask, maintain social distancing and only visit one person's room," Ms Hunter said.
"But I came across a family sharing communal food in a communal area, masks off, they couldn't tick more boxes about doing wrong thing which is really sad.
"They might feel comfortable but I have 74 other residents and their families doing the right thing...people don't understand the consequences of their actions."
Under current restrictions in place in regional Victoria, visitors can only attend aged care facilities for end-of-life purposes or providing support and care.
They must wear a face mask at all times.
Metropolitan Melburnians can only travel to the regions for five essential reasons including permitted work or education, visiting an intimate partner, care and compassion or to access a COVID-19 vaccine or necessary goods and services.
"To keep the system operating, don't attend the site if you reside in an area under restrictions, only visit in resident's rooms, don't remove your mask for any reason (and) answer the self arrival questions honestly," Ms Hunter said.
"So many older people lost their lives in metropolitan Melbourne last year and we're doing everything to prevent that...any risk you take is not worth happening.
"Help us help you, do the right thing because we don't want our older people to be isolated, we just want people to get out the other end safely."