The couple got together on the first season of The Bachelor in 2013 and officially tied the knot in Italy last year.
In March, Robards moved to Melbourne after landing a role on Neighbours but Heinrich, who is a criminal lawyer, decided to remain in Sydney.
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It was radio host Kyle Sandilands who started the rumour that all was not well between Heinrich and Robards in October.
During an appearance on The Project to promote his show Trial By Kyle, which Heinrich also appears on, Sandilands said: “Do you know what — this morning I had her on my radio show. I said, ‘What’s the go with your husband living in Melbourne trying to be an actor on Neighbours?’ She said he signed for a year.
“I said, ‘I feel there’s trouble.’ She said, ‘No, no, there’s no trouble.’ Watch that space! Something is going on,” Sandilands said.
Speculation intensified when Heinrich flew down to Melbourne for the Melbourne Cup but chose to stay in a hotel rather than at her husband’s apartment.
“I’m not in a hotel (with Anna) because Monday to Friday I live down here, but she is only here for a couple of days,” Robards explained to the Daily Mail when asked why they weren’t staying together.
This morning Heinrich appeared on Channel 7’s The Morning Show and described the recent articles about her relationship as “rubbish”.
“When you’re confident in your relationship it doesn’t matter what people say,” she told co-hosts Larry Emdur and Kylie Gillies.
“Tim and I, we’re like better than ever.
“He lives in Melbourne, that’s a fact, I’m not going to see him majority of the week. He comes back on the weekends (to Sydney) and I was at the races there and I had to work so I probably didn’t see him majority of the time, but we’re definitely still together.”
Heinrich said she isn’t bothered by the speculation and added, “They can write what they want but it’s rubbish really.
“Those headlines have been there all week, and to tell you the truth and to be very honest, it does not affect me now, it really doesn’t,” she said. “I think it’s more annoying that I have to justify me relationship because we’re so happy, we really are.”