It is all the game of probability. There no definite answer to your question. It depends on lots of factors, but let us take one scenario out of the table. Read the below declaration first:
Tor doesn't protect you from a global adversary
A global passive adversary would be a person or an entity able to
monitor at the same time the traffic between all the computers in a
network. By studying, for example, the timing and volume patterns of
the different communications across the network, it would be
statistically possible to identify Tor circuits and thus matching Tor
users and destination servers.
It is part of Tor's initial trade-off not to address such a threat in
order to create a low-latency communication service usable for web
browsing, Internet chat or SSH connections.
If your adversary is NSA or similar entities, there are considered to be global adversaries and Tor can not protect you against them. There is no game of probability about this. It is stated as definite warning.
Also read the more complete list of the warnings here: https://tails.boum.org/doc/about/warning/index.en.html
If any of your concern relate to non state entities, thus non global adversaries then we are talking about the game of probability. If you encounter a honeypot, then there is a good chance that you eventually will be de-anonymized. Depending on how fast, how much information you provide to the site and how often you visit the site, plus the nature of the site. The best approach to the best of my knowledge is not to trust any site until the evidence convince you that the site is not a honeypot beyond reasonable doubt. One important point here is eveything should be evidence based and nothing should be faith based as far as trusting these sites are concerned.
Always leave some probability for error in judgment and mistakes and have a backup plan when these mistakes and error in judgement occur. For example one established way to increase the security is to make layers after layers of barriers, so that once some of these layers are broken you still remain safe. One of these barriers could be Tor or even better using Tor through Tails. But of course this is not enough. You need to connect to Tails at some remote location at least 100 miles from your place of residence, work, study in Starbucks like caffe which does not employee surveillance cameras. Also please read my answer to this question for additional clues of what you need to observe:
Can an IP address get you caught?